64188960 has 96 divisors (see below), whose sum is σ = 220594752. Its totient is φ = 15559680.

The previous prime is 64188959. The next prime is 64188961. The reversal of 64188960 is 6988146.

It is an interprime number because it is at equal distance from previous prime (64188959) and next prime (64188961).

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

It is not an unprimeable number, because it can be changed into a prime (64188961) 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, 799 + ... + 11358.

It is an arithmetic number, because the mean of its divisors is an integer number (2297862).

Almost surely, 2^64188960 is an apocalyptic number.

64188960 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 64188960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110297376).

64188960 is an abundant number, since it is smaller than the sum of its proper divisors (156405792).

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

64188960 is a wasteful number, since it uses less digits than its factorization.

64188960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12186 (or 12178 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 64188960 is about 8011.8012955889. The cubic root of 64188960 is about 400.3932798673.

The spelling of 64188960 in words is "sixty-four million, one hundred eighty-eight thousand, nine hundred sixty".