87179820 has 144 divisors (see below), whose sum is σ = 305934048. Its totient is φ = 18385920.

The previous prime is 87179803. The next prime is 87179857. The reversal of 87179820 is 2897178.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37080 + ... + 39360.

It is an arithmetic number, because the mean of its divisors is an integer number (2124542).

Almost surely, 2^87179820 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 87179820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152967024).

87179820 is an abundant number, since it is smaller than the sum of its proper divisors (218754228).

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

87179820 is a wasteful number, since it uses less digits than its factorization.

87179820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The square root of 87179820 is about 9337.0134411384. The cubic root of 87179820 is about 443.4098359821.

The spelling of 87179820 in words is "eighty-seven million, one hundred seventy-nine thousand, eight hundred twenty".