87638400 has 288 divisors, whose sum is σ = 332958600. Its totient is φ = 21872640.

The previous prime is 87638399. The next prime is 87638449. The reversal of 87638400 is 483678.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489511 + ... + 489689.

Almost surely, 2^87638400 is an apocalyptic number.

87638400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166479300).

87638400 is an abundant number, since it is smaller than the sum of its proper divisors (245320200).

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

87638400 is a wasteful number, since it uses less digits than its factorization.

87638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 87638400 is about 9361.5383351242. The cubic root of 87638400 is about 444.1859459772.

The spelling of 87638400 in words is "eighty-seven million, six hundred thirty-eight thousand, four hundred".