1000000 has 49 divisors (see below), whose sum is σ = 2480437. Its totient is φ = 400000.

The previous prime is 999983. The next prime is 1000003. The reversal of 1000000 is 1.

It is a happy number.

The square root of 1000000 is 1000. The cubic root of 1000000 is 100.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

1000000 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 3 ways, for example, as 876096 + 123904 = 936^2 + 352^2 .

It is a Harshad number since it is a multiple of its sum of digits (1).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 10.

It is a zygodrome in base 7.

It is a self number, because there is not a number *n* which added to its sum of digits gives 1000000.

It is not an unprimeable number, because it can be changed into a prime (1000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 199998 + ... + 200002.

2^{1000000} is an apocalyptic number.

1000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000000 is the 1000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000000

1000000 is an abundant number, since it is smaller than the sum of its proper divisors (1480437).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000000 is an frugal number, since it uses more digits than its factorization.

1000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 1.

The spelling of 1000000 in words is "one million", and is thus an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 125000 200000 250000 500000 1000000

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