87478625 has 48 divisors (see below), whose sum is σ = 122299632. Its totient is φ = 62400000.

The previous prime is 87478613. The next prime is 87478627. The reversal of 87478625 is 52687478.

It can be written as a sum of positive squares in 24 ways, for example, as 84033889 + 3444736 = 9167^2 + 1856^2 .

It is not a de Polignac number, because 87478625 - 2⁶ = 87478561 is a prime.

Its product of digits (752640) is a multiple of the sum of its prime divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 87478625.

It is not an unprimeable number, because it can be changed into a prime (87478627) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 866075 + ... + 866175.

It is an arithmetic number, because the mean of its divisors is an integer number (2547909).

Almost surely, 2^87478625 is an apocalyptic number.

It is an amenable number.

87478625 is a deficient number, since it is larger than the sum of its proper divisors (34821007).

87478625 is a wasteful number, since it uses less digits than its factorization.

87478625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

The product of its digits is 752640, while the sum is 47.

The square root of 87478625 is about 9353.0008553405. Note that the first 3 decimals coincide. The cubic root of 87478625 is about 443.9158475500.

The spelling of 87478625 in words is "eighty-seven million, four hundred seventy-eight thousand, six hundred twenty-five".