87182460 has 96 divisors (see below), whose sum is σ = 287219520. Its totient is φ = 21878784.

The previous prime is 87182449. The next prime is 87182461. The reversal of 87182460 is 6428178.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87182461) 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 31 ways as a sum of consecutive naturals, for example, 4432 + ... + 13928.

It is an arithmetic number, because the mean of its divisors is an integer number (2991870).

Almost surely, 2^87182460 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 87182460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143609760).

87182460 is an abundant number, since it is smaller than the sum of its proper divisors (200037060).

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

87182460 is a wasteful number, since it uses less digits than its factorization.

87182460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9532 (or 9524 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 87182460 is about 9337.1548128967. The cubic root of 87182460 is about 443.4143117509.

The spelling of 87182460 in words is "eighty-seven million, one hundred eighty-two thousand, four hundred sixty".