87279660 has 96 divisors (see below), whose sum is σ = 292447680. Its totient is φ = 21482496.

The previous prime is 87279631. The next prime is 87279671. The reversal of 87279660 is 6697278.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 804 + ... + 13236.

It is an arithmetic number, because the mean of its divisors is an integer number (3046330).

Almost surely, 2^87279660 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 87279660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146223840).

87279660 is an abundant number, since it is smaller than the sum of its proper divisors (205168020).

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

87279660 is a wasteful number, since it uses less digits than its factorization.

87279660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12464 (or 12456 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 87279660 is about 9342.3583746290. The cubic root of 87279660 is about 443.5790385535.

The spelling of 87279660 in words is "eighty-seven million, two hundred seventy-nine thousand, six hundred sixty".