1056164664 has 64 divisors (see below), whose sum is σ = 2694873600. Its totient is φ = 344837376.

The previous prime is 1056164663. The next prime is 1056164671. The reversal of 1056164664 is 4664616501.

It is a happy number.

It is a super-2 number, since 2×1056164664² = 2230967594964465792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056164663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442017 + ... + 444399.

It is an arithmetic number, because the mean of its divisors is an integer number (42107400).

Almost surely, 2^1056164664 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 1056164664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347436800).

1056164664 is an abundant number, since it is smaller than the sum of its proper divisors (1638708936).

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

1056164664 is a wasteful number, since it uses less digits than its factorization.

1056164664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 1056164664 is about 32498.6871119435. The cubic root of 1056164664 is about 1018.3816011282.

The spelling of 1056164664 in words is "one billion, fifty-six million, one hundred sixty-four thousand, six hundred sixty-four".