1061000 has 32 divisors (see below), whose sum is σ = 2485080. Its totient is φ = 424000.

The previous prime is 1060993. The next prime is 1061033. The reversal of 1061000 is 1601.

It can be written as a sum of positive squares in 4 ways, for example, as 391876 + 669124 = 626^2 + 818^2 .

It is a super-2 number, since 2×1061000² = 2251442000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 470 + ... + 1530.

2^1061000 is an apocalyptic number.

1061000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242540).

1061000 is an abundant number, since it is smaller than the sum of its proper divisors (1424080).

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

1061000 is a wasteful number, since it uses less digits than its factorization.

1061000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1061000 is about 1030.0485425454. The cubic root of 1061000 is about 101.9933354610.

Adding to 1061000 its reverse (1601), we get a palindrome (1062601).

The spelling of 1061000 in words is "one million, sixty-one thousand".