1000920 has 64 divisors (see below), whose sum is σ = 3168000. Its totient is φ = 252288.

The previous prime is 1000919. The next prime is 1000921. The reversal of 1000920 is 290001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1000919) and next prime (1000921).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1000896 and 1000905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2061 + ... + 2499.

It is an arithmetic number, because the mean of its divisors is an integer number (49500).

2^1000920 is an apocalyptic number.

1000920 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 1000920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584000).

1000920 is an abundant number, since it is smaller than the sum of its proper divisors (2167080).

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

1000920 is a wasteful number, since it uses less digits than its factorization.

1000920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1000920 is about 1000.4598942486. The cubic root of 1000920 is about 100.0306572670.

Adding to 1000920 its reverse (290001), we get a palindrome (1290921).

The spelling of 1000920 in words is "one million, nine hundred twenty", and thus it is an aban number.