60264864 has 192 divisors, whose sum is σ = 203575680. Its totient is φ = 17141760.

The previous prime is 60264859. The next prime is 60264937. The reversal of 60264864 is 46846206.

It is a happy number.

60264864 is a `hidden beast` number, since 6 + 0 + 2 + 648 + 6 + 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161382 + ... + 161754.

It is an arithmetic number, because the mean of its divisors is an integer number (1060290).

Almost surely, 2^60264864 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 60264864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101787840).

60264864 is an abundant number, since it is smaller than the sum of its proper divisors (143310816).

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

60264864 is a wasteful number, since it uses less digits than its factorization.

60264864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 60264864 is about 7763.0447634933. The cubic root of 60264864 is about 392.0619782608.

The spelling of 60264864 in words is "sixty million, two hundred sixty-four thousand, eight hundred sixty-four".