87960600 has 384 divisors, whose sum is σ = 374976000. Its totient is φ = 18455040.

The previous prime is 87960599. The next prime is 87960611. The reversal of 87960600 is 606978.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 491311 + ... + 491489.

It is an arithmetic number, because the mean of its divisors is an integer number (976500).

Almost surely, 2^87960600 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 87960600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

87960600 is an abundant number, since it is smaller than the sum of its proper divisors (287015400).

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

87960600 is a wasteful number, since it uses less digits than its factorization.

87960600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 87960600 is about 9378.7312574783. The cubic root of 87960600 is about 444.7296257683.

The spelling of 87960600 in words is "eighty-seven million, nine hundred sixty thousand, six hundred".