87088600 has 48 divisors (see below), whose sum is σ = 205366320. Its totient is φ = 34339200.

The previous prime is 87088591. The next prime is 87088601. The reversal of 87088600 is 688078.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 87088600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87088601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11134 + ... + 17266.

It is an arithmetic number, because the mean of its divisors is an integer number (4278465).

Almost surely, 2^87088600 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 87088600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102683160).

87088600 is an abundant number, since it is smaller than the sum of its proper divisors (118277720).

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

87088600 is a wasteful number, since it uses less digits than its factorization.

87088600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6220 (or 6211 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 87088600 is about 9332.1273030323. The cubic root of 87088600 is about 443.2551290752.

The spelling of 87088600 in words is "eighty-seven million, eighty-eight thousand, six hundred".