87596200 has 48 divisors (see below), whose sum is σ = 204986880. Its totient is φ = 34810560.

The previous prime is 87596177. The next prime is 87596209. The reversal of 87596200 is 269578.

It is a self number, because there is not a number n which added to its sum of digits gives 87596200.

It is not an unprimeable number, because it can be changed into a prime (87596209) 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, 31257 + ... + 33943.

It is an arithmetic number, because the mean of its divisors is an integer number (4270560).

Almost surely, 2^87596200 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 87596200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102493440).

87596200 is an abundant number, since it is smaller than the sum of its proper divisors (117390680).

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

87596200 is a wasteful number, since it uses less digits than its factorization.

87596200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 87596200 is about 9359.2841606610. The cubic root of 87596200 is about 444.1146391208.

The spelling of 87596200 in words is "eighty-seven million, five hundred ninety-six thousand, two hundred".