87518400 has 84 divisors (see below), whose sum is σ = 287149032. Its totient is φ = 23336960.

The previous prime is 87518399. The next prime is 87518401. The reversal of 87518400 is 481578.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87518399) and next prime (87518401).

It is not an unprimeable number, because it can be changed into a prime (87518401) 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 11 ways as a sum of consecutive naturals, for example, 4317 + ... + 13916.

Almost surely, 2^87518400 is an apocalyptic number.

87518400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87518400 is an abundant number, since it is smaller than the sum of its proper divisors (199630632).

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

87518400 is a wasteful number, since it uses less digits than its factorization.

87518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18258 (or 18243 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 87518400 is about 9355.1269366054. The cubic root of 87518400 is about 443.9831176115.

Adding to 87518400 its reverse (481578), we get a palindrome (87999978).

The spelling of 87518400 in words is "eighty-seven million, five hundred eighteen thousand, four hundred".