87555600 has 360 divisors, whose sum is σ = 347651360. Its totient is φ = 20908800.

The previous prime is 87555599. The next prime is 87555607. The reversal of 87555600 is 655578.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (87555607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1306767 + ... + 1306833.

Almost surely, 2^87555600 is an apocalyptic number.

87555600 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 87555600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173825680).

87555600 is an abundant number, since it is smaller than the sum of its proper divisors (260095760).

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

87555600 is a wasteful number, since it uses less digits than its factorization.

87555600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 87555600 is about 9357.1149399802. The cubic root of 87555600 is about 444.0460142231.

The spelling of 87555600 in words is "eighty-seven million, five hundred fifty-five thousand, six hundred".