60315264 has 96 divisors (see below), whose sum is σ = 177935940. Its totient is φ = 19599360.

The previous prime is 60315257. The next prime is 60315271. The reversal of 60315264 is 46251306.

60315264 is a `hidden beast` number, since 603 + 1 + 52 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (60315257) and next prime (60315271).

It can be written as a sum of positive squares in 2 ways, for example, as 57881664 + 2433600 = 7608^2 + 1560^2 .

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46594 + ... + 47870.

Almost surely, 2^60315264 is an apocalyptic number.

60315264 is a gapful number since it is divisible by the number (64) 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 60315264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88967970).

60315264 is an abundant number, since it is smaller than the sum of its proper divisors (117620676).

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

60315264 is a wasteful number, since it uses less digits than its factorization.

60315264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 60315264 is about 7766.2902340822. The cubic root of 60315264 is about 392.1712426894.

The spelling of 60315264 in words is "sixty million, three hundred fifteen thousand, two hundred sixty-four".