87579200 has 84 divisors (see below), whose sum is σ = 217700352. Its totient is φ = 34675200.

The previous prime is 87579197. The next prime is 87579209. The reversal of 87579200 is 297578.

It is not an unprimeable number, because it can be changed into a prime (87579209) 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, 202985 + ... + 203415.

Almost surely, 2^87579200 is an apocalyptic number.

87579200 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 87579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108850176).

87579200 is an abundant number, since it is smaller than the sum of its proper divisors (130121152).

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

87579200 is a wasteful number, since it uses less digits than its factorization.

87579200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The square root of 87579200 is about 9358.3759274780. The cubic root of 87579200 is about 444.0859071388.

The spelling of 87579200 in words is "eighty-seven million, five hundred seventy-nine thousand, two hundred".