64133160 has 192 divisors, whose sum is σ = 241315200. Its totient is φ = 13515264.

The previous prime is 64133159. The next prime is 64133191. The reversal of 64133160 is 6133146.

It is a super-2 number, since 2×64133160² = 8226124423171200, 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 64133160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76021 + ... + 76859.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 2^64133160 is an apocalyptic number.

64133160 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 64133160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120657600).

64133160 is an abundant number, since it is smaller than the sum of its proper divisors (177182040).

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

64133160 is a wasteful number, since it uses less digits than its factorization.

64133160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 64133160 is about 8008.3181754973. The cubic root of 64133160 is about 400.2772244887.

The spelling of 64133160 in words is "sixty-four million, one hundred thirty-three thousand, one hundred sixty".