87599400 has 96 divisors (see below), whose sum is σ = 310367040. Its totient is φ = 20021760.

The previous prime is 87599389. The next prime is 87599417. The reversal of 87599400 is 499578.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6229 + ... + 14628.

It is an arithmetic number, because the mean of its divisors is an integer number (3232990).

Almost surely, 2^87599400 is an apocalyptic number.

It is an amenable number.

87599400 is an abundant number, since it is smaller than the sum of its proper divisors (222767640).

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

87599400 is a wasteful number, since it uses less digits than its factorization.

87599400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20883 (or 20874 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 87599400 is about 9359.4551123449. The cubic root of 87599400 is about 444.1200470782.

The spelling of 87599400 in words is "eighty-seven million, five hundred ninety-nine thousand, four hundred".