64160160 has 96 divisors (see below), whose sum is σ = 203212800. Its totient is φ = 17015808.

The previous prime is 64160153. The next prime is 64160167. The reversal of 64160160 is 6106146.

64160160 = 2666² + 2667² + ... + 2674².

It is an interprime number because it is at equal distance from previous prime (64160153) and next prime (64160167).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×64160160² = 8233052262451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 64160160.

It is not an unprimeable number, because it can be changed into a prime (64160167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167329 + ... + 167711.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 2^64160160 is an apocalyptic number.

64160160 is a gapful number since it is divisible by the number (60) 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 64160160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

64160160 is an abundant number, since it is smaller than the sum of its proper divisors (139052640).

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

64160160 is a wasteful number, since it uses less digits than its factorization.

64160160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 64160160 is about 8010.0037453175. The cubic root of 64160160 is about 400.3333887194. Note that the first 4 decimals are identical.

The spelling of 64160160 in words is "sixty-four million, one hundred sixty thousand, one hundred sixty".