87104668 has 48 divisors (see below), whose sum is σ = 190439424. Its totient is φ = 33995520.

The previous prime is 87104663. The next prime is 87104671. The reversal of 87104668 is 86640178.

It is a Smith number, since the sum of its digits (40) 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 87104668.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87104663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11805 + ... + 17707.

It is an arithmetic number, because the mean of its divisors is an integer number (3967488).

Almost surely, 2^87104668 is an apocalyptic number.

87104668 is the 5903-rd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87104668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95219712).

87104668 is an abundant number, since it is smaller than the sum of its proper divisors (103334756).

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

87104668 is a wasteful number, since it uses less digits than its factorization.

87104668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5962 (or 5960 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 87104668 is about 9332.9881602839. The cubic root of 87104668 is about 443.2823878494.

The spelling of 87104668 in words is "eighty-seven million, one hundred four thousand, six hundred sixty-eight".