1056507664 has 40 divisors (see below), whose sum is σ = 2087803872. Its totient is φ = 517820160.

The previous prime is 1056507659. The next prime is 1056507667. The reversal of 1056507664 is 4667056501.

1056507664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1056507664² = 2232416888181473792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1056507667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170932 + ... + 177004.

Almost surely, 2^1056507664 is an apocalyptic number.

It is an amenable number.

1056507664 is a deficient number, since it is larger than the sum of its proper divisors (1031296208).

1056507664 is a wasteful number, since it uses less digits than its factorization.

1056507664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6295 (or 6289 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 1056507664 is about 32503.9638198174. The cubic root of 1056507664 is about 1018.4918323874.

The spelling of 1056507664 in words is "one billion, fifty-six million, five hundred seven thousand, six hundred sixty-four".