1056768516 has 72 divisors (see below), whose sum is σ = 2758916160. Its totient is φ = 340853184.

The previous prime is 1056768491. The next prime is 1056768521. The reversal of 1056768516 is 6158676501.

1056768516 is a `hidden beast` number, since 1 + 0 + 567 + 6 + 85 + 1 + 6 = 666.

It is a super-2 number, since 2×1056768516² = 2233519392817684512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165601 + ... + 171863.

It is an arithmetic number, because the mean of its divisors is an integer number (38318280).

Almost surely, 2^1056768516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056768516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379458080).

1056768516 is an abundant number, since it is smaller than the sum of its proper divisors (1702147644).

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

1056768516 is a wasteful number, since it uses less digits than its factorization.

1056768516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6425 (or 6420 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 1056768516 is about 32507.9761904675. The cubic root of 1056768516 is about 1018.5756474504.

The spelling of 1056768516 in words is "one billion, fifty-six million, seven hundred sixty-eight thousand, five hundred sixteen".