54887625 has 96 divisors (see below), whose sum is σ = 111296640. Its totient is φ = 26827200.

The previous prime is 54887597. The next prime is 54887627. The reversal of 54887625 is 52678845.

54887625 is a `hidden beast` number, since 548 + 87 + 6 + 25 = 666.

It is not a de Polignac number, because 54887625 - 2⁵ = 54887593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 54887625 = 25³ + 380³ = 240³ + 345³.

Its product of digits (537600) is a multiple of the sum of its prime divisors (160).

It is not an unprimeable number, because it can be changed into a prime (54887627) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 394806 + ... + 394944.

It is an arithmetic number, because the mean of its divisors is an integer number (1159340).

Almost surely, 2^54887625 is an apocalyptic number.

It is an amenable number.

54887625 is an abundant number, since it is smaller than the sum of its proper divisors (56409015).

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

54887625 is a wasteful number, since it uses less digits than its factorization.

54887625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 160 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 54887625 is about 7408.6182922324. The cubic root of 54887625 is about 380.0360653674.

The spelling of 54887625 in words is "fifty-four million, eight hundred eighty-seven thousand, six hundred twenty-five".