87705600 has 144 divisors (see below), whose sum is σ = 290450160. Its totient is φ = 23347200.

The previous prime is 87705593. The next prime is 87705623. The reversal of 87705600 is 650778.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153315 + ... + 153885.

It is an arithmetic number, because the mean of its divisors is an integer number (2017015).

Almost surely, 2^87705600 is an apocalyptic number.

87705600 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 87705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145225080).

87705600 is an abundant number, since it is smaller than the sum of its proper divisors (202744560).

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

87705600 is a wasteful number, since it uses less digits than its factorization.

87705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 87705600 is about 9365.1268010636. The cubic root of 87705600 is about 444.2994489982.

The spelling of 87705600 in words is "eighty-seven million, seven hundred five thousand, six hundred".