87546375 has 48 divisors (see below), whose sum is σ = 180378432. Its totient is φ = 40017600.

The previous prime is 87546373. The next prime is 87546391. The reversal of 87546375 is 57364578.

87546375 is a `hidden beast` number, since 8 + 7 + 5 + 4 + 637 + 5 = 666.

It is not a de Polignac number, because 87546375 - 2¹ = 87546373 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 87546375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87546373) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2317 + ... + 13433.

It is an arithmetic number, because the mean of its divisors is an integer number (3757884).

Almost surely, 2^87546375 is an apocalyptic number.

87546375 is an abundant number, since it is smaller than the sum of its proper divisors (92832057).

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

87546375 is a wasteful number, since it uses less digits than its factorization.

87546375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11145 (or 11132 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 87546375 is about 9356.6219865932. The cubic root of 87546375 is about 444.0304185393.

It can be divided in two parts, 8754 and 6375, that added together give a square (15129 = 123²).

The spelling of 87546375 in words is "eighty-seven million, five hundred forty-six thousand, three hundred seventy-five".