64587120 has 160 divisors (see below), whose sum is σ = 218652672. Its totient is φ = 15676416.

The previous prime is 64587119. The next prime is 64587139. The reversal of 64587120 is 2178546.

64587120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396159 + ... + 396321.

Almost surely, 2^64587120 is an apocalyptic number.

64587120 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 64587120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109326336).

64587120 is an abundant number, since it is smaller than the sum of its proper divisors (154065552).

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

64587120 is a wasteful number, since it uses less digits than its factorization.

64587120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 64587120 is about 8036.6112261326. The cubic root of 64587120 is about 401.2194452719.

The spelling of 64587120 in words is "sixty-four million, five hundred eighty-seven thousand, one hundred twenty".