87488820 has 72 divisors (see below), whose sum is σ = 273960960. Its totient is φ = 22576320.

The previous prime is 87488813. The next prime is 87488839. The reversal of 87488820 is 2888478.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2260 + ... + 13419.

Almost surely, 2^87488820 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 87488820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136980480).

87488820 is an abundant number, since it is smaller than the sum of its proper divisors (186472140).

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

87488820 is a wasteful number, since it uses less digits than its factorization.

87488820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15725 (or 15720 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 87488820 is about 9353.5458517078. The cubic root of 87488820 is about 443.9330919388.

The spelling of 87488820 in words is "eighty-seven million, four hundred eighty-eight thousand, eight hundred twenty".