1064164160 has 112 divisors (see below), whose sum is σ = 2684922240. Its totient is φ = 400619520.

The previous prime is 1064164133. The next prime is 1064164183. The reversal of 1064164160 is 614614601.

It is a super-2 number, since 2×1064164160² = 2264890718857011200, which contains 22 as substring.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1099997 + ... + 1100963.

It is an arithmetic number, because the mean of its divisors is an integer number (23972520).

Almost surely, 2^1064164160 is an apocalyptic number.

1064164160 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 1064164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342461120).

1064164160 is an abundant number, since it is smaller than the sum of its proper divisors (1620758080).

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

1064164160 is a wasteful number, since it uses less digits than its factorization.

1064164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 1064164160 is about 32621.5290873987. The cubic root of 1064164160 is about 1020.9462448072.

Adding to 1064164160 its reverse (614614601), we get a palindrome (1678778761).

The spelling of 1064164160 in words is "one billion, sixty-four million, one hundred sixty-four thousand, one hundred sixty".