1064365680 has 160 divisors (see below), whose sum is σ = 3873037824. Its totient is φ = 236694528.

The previous prime is 1064365667. The next prime is 1064365691. The reversal of 1064365680 is 865634601.

1064365680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1064365680² = 2265748601523724800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53599 + ... + 70721.

Almost surely, 2^1064365680 is an apocalyptic number.

1064365680 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 1064365680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936518912).

1064365680 is an abundant number, since it is smaller than the sum of its proper divisors (2808672144).

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

1064365680 is a wasteful number, since it uses less digits than its factorization.

1064365680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17183 (or 17177 counting only the distinct ones).

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

The square root of 1064365680 is about 32624.6176989095. The cubic root of 1064365680 is about 1021.0106860245.

The spelling of 1064365680 in words is "one billion, sixty-four million, three hundred sixty-five thousand, six hundred eighty".