60516864 has 120 divisors (see below), whose sum is σ = 182568672. Its totient is φ = 19261440.

The previous prime is 60516839. The next prime is 60516913. The reversal of 60516864 is 46861506.

60516864 is a `hidden beast` number, since 60 + 516 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 105699 + ... + 106269.

Almost surely, 2^60516864 is an apocalyptic number.

60516864 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 60516864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91284336).

60516864 is an abundant number, since it is smaller than the sum of its proper divisors (122051808).

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

60516864 is a wasteful number, since it uses less digits than its factorization.

60516864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 60516864 is about 7779.2585764969. The cubic root of 60516864 is about 392.6076927365.

The spelling of 60516864 in words is "sixty million, five hundred sixteen thousand, eight hundred sixty-four".