87501600 has 144 divisors (see below), whose sum is σ = 316542240. Its totient is φ = 23328000.

The previous prime is 87501599. The next prime is 87501611. The reversal of 87501600 is 610578.

87501600 is a `hidden beast` number, since 8 + 7 + 50 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19575 + ... + 23625.

It is an arithmetic number, because the mean of its divisors is an integer number (2198210).

Almost surely, 2^87501600 is an apocalyptic number.

87501600 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 87501600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158271120).

87501600 is an abundant number, since it is smaller than the sum of its proper divisors (229040640).

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

87501600 is a wasteful number, since it uses less digits than its factorization.

87501600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 87501600 is about 9354.2289901413. The cubic root of 87501600 is about 443.9547068480.

The spelling of 87501600 in words is "eighty-seven million, five hundred one thousand, six hundred".