87496200 has 240 divisors, whose sum is σ = 332188560. Its totient is φ = 21168000.

The previous prime is 87496183. The next prime is 87496223. The reversal of 87496200 is 269478.

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 177955 + ... + 178445.

It is an arithmetic number, because the mean of its divisors is an integer number (1384119).

Almost surely, 2^87496200 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 87496200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166094280).

87496200 is an abundant number, since it is smaller than the sum of its proper divisors (244692360).

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

87496200 is a wasteful number, since it uses less digits than its factorization.

87496200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 87496200 is about 9353.9403461857. The cubic root of 87496200 is about 443.9455740445.

The spelling of 87496200 in words is "eighty-seven million, four hundred ninety-six thousand, two hundred".