64314960 has 80 divisors (see below), whose sum is σ = 201683520. Its totient is φ = 16952320.

The previous prime is 64314949. The next prime is 64314973. The reversal of 64314960 is 6941346.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 11.

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, 19855 + ... + 22865.

It is an arithmetic number, because the mean of its divisors is an integer number (2521044).

Almost surely, 2^64314960 is an apocalyptic number.

64314960 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 64314960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100841760).

64314960 is an abundant number, since it is smaller than the sum of its proper divisors (137368560).

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

64314960 is a wasteful number, since it uses less digits than its factorization.

64314960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 64314960 is about 8019.6608407089. The cubic root of 64314960 is about 400.6550932132.

The spelling of 64314960 in words is "sixty-four million, three hundred fourteen thousand, nine hundred sixty".