87084600 has 96 divisors (see below), whose sum is σ = 284208000. Its totient is φ = 21997440.

The previous prime is 87084583. The next prime is 87084617. The reversal of 87084600 is 648078.

It is an interprime number because it is at equal distance from previous prime (87084583) and next prime (87084617).

It is a congruent number.

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, 7581 + ... + 15219.

It is an arithmetic number, because the mean of its divisors is an integer number (2960500).

Almost surely, 2^87084600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87084600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142104000).

87084600 is an abundant number, since it is smaller than the sum of its proper divisors (197123400).

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

87084600 is a wasteful number, since it uses less digits than its factorization.

87084600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7677 (or 7668 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 87084600 is about 9331.9129871640. The cubic root of 87084600 is about 443.2483427004.

The spelling of 87084600 in words is "eighty-seven million, eighty-four thousand, six hundred".