1056797560 has 192 divisors, whose sum is σ = 3073697280. Its totient is φ = 319587840.

The previous prime is 1056797527. The next prime is 1056797579. The reversal of 1056797560 is 657976501.

It is a happy number.

It is a super-2 number, since 2×1056797560² = 2233642165643907200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 1056797560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1087875 + ... + 1088845.

It is an arithmetic number, because the mean of its divisors is an integer number (16008840).

Almost surely, 2^1056797560 is an apocalyptic number.

1056797560 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 1056797560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536848640).

1056797560 is an abundant number, since it is smaller than the sum of its proper divisors (2016899720).

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

1056797560 is a wasteful number, since it uses less digits than its factorization.

1056797560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 46.

The square root of 1056797560 is about 32508.4229085325. The cubic root of 1056797560 is about 1018.5849788034.

The spelling of 1056797560 in words is "one billion, fifty-six million, seven hundred ninety-seven thousand, five hundred sixty".