87968600 has 72 divisors (see below), whose sum is σ = 212227860. Its totient is φ = 33909120.

The previous prime is 87968599. The next prime is 87968603. The reversal of 87968600 is 686978.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87968603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 167939 + ... + 168461.

Almost surely, 2^87968600 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 87968600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106113930).

87968600 is an abundant number, since it is smaller than the sum of its proper divisors (124259260).

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

87968600 is a wasteful number, since it uses less digits than its factorization.

87968600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 87968600 is about 9379.1577447018. The cubic root of 87968600 is about 444.7431080515.

The spelling of 87968600 in words is "eighty-seven million, nine hundred sixty-eight thousand, six hundred".