64131760 has 160 divisors (see below), whose sum is σ = 192844800. Its totient is φ = 19246080.

The previous prime is 64131733. The next prime is 64131779. The reversal of 64131760 is 6713146.

It is a super-2 number, since 2×64131760² = 8225765281395200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 178461 + ... + 178819.

It is an arithmetic number, because the mean of its divisors is an integer number (1205280).

Almost surely, 2^64131760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64131760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96422400).

64131760 is an abundant number, since it is smaller than the sum of its proper divisors (128713040).

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

64131760 is a wasteful number, since it uses less digits than its factorization.

64131760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 64131760 is about 8008.2307659058. The cubic root of 64131760 is about 400.2743118395.

The spelling of 64131760 in words is "sixty-four million, one hundred thirty-one thousand, seven hundred sixty".