1056076560 has 480 divisors, whose sum is σ = 4534852608. Its totient is φ = 213857280.

The previous prime is 1056076523. The next prime is 1056076561. The reversal of 1056076560 is 656706501.

It is a happy number.

It is a super-2 number, since 2×1056076560² = 2230595401162867200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1056076561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2383699 + ... + 2384141.

Almost surely, 2^1056076560 is an apocalyptic number.

1056076560 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 1056076560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267426304).

1056076560 is an abundant number, since it is smaller than the sum of its proper divisors (3478776048).

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

1056076560 is a wasteful number, since it uses less digits than its factorization.

1056076560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 1056076560 is about 32497.3315827623. The cubic root of 1056076560 is about 1018.3532829468.

The spelling of 1056076560 in words is "one billion, fifty-six million, seventy-six thousand, five hundred sixty".