1012920 has 64 divisors (see below), whose sum is σ = 3179520. Its totient is φ = 257664.

The previous prime is 1012919. The next prime is 1012931. The reversal of 1012920 is 292101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1012920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2577 + ... + 2943.

It is an arithmetic number, because the mean of its divisors is an integer number (49680).

2^1012920 is an apocalyptic number.

1012920 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 1012920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589760).

1012920 is an abundant number, since it is smaller than the sum of its proper divisors (2166600).

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

1012920 is a wasteful number, since it uses less digits than its factorization.

1012920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1012920 is about 1006.4392679144. The cubic root of 1012920 is about 100.4288251282.

1012920 divided by its sum of digits (15) gives a triangular number (67528 = T₃₆₇).

The spelling of 1012920 in words is "one million, twelve thousand, nine hundred twenty".