60456864 has 96 divisors (see below), whose sum is σ = 172476864. Its totient is φ = 18432000.

The previous prime is 60456859. The next prime is 60456871. The reversal of 60456864 is 46865406.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 240739 + ... + 240989.

It is an arithmetic number, because the mean of its divisors is an integer number (1796634).

Almost surely, 2^60456864 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 60456864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86238432).

60456864 is an abundant number, since it is smaller than the sum of its proper divisors (112020000).

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

60456864 is a wasteful number, since it uses less digits than its factorization.

60456864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 60456864 is about 7775.4012115131. The cubic root of 60456864 is about 392.4778983322.

The spelling of 60456864 in words is "sixty million, four hundred fifty-six thousand, eight hundred sixty-four".