1056385920 has 128 divisors (see below), whose sum is σ = 3413809440. Its totient is φ = 277807104.

The previous prime is 1056385909. The next prime is 1056385937. The reversal of 1056385920 is 295836501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1056385920² = 2231902423948492800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136392 + ... + 143928.

Almost surely, 2^1056385920 is an apocalyptic number.

1056385920 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 1056385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706904720).

1056385920 is an abundant number, since it is smaller than the sum of its proper divisors (2357423520).

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

1056385920 is an equidigital number, since it uses as much as digits as its factorization.

1056385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7632 (or 7620 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 1056385920 is about 32502.0910096566. The cubic root of 1056385920 is about 1018.4527097709.

The spelling of 1056385920 in words is "one billion, fifty-six million, three hundred eighty-five thousand, nine hundred twenty".