87398820 has 72 divisors (see below), whose sum is σ = 269103744. Its totient is φ = 22955328.

The previous prime is 87398813. The next prime is 87398849. The reversal of 87398820 is 2889378.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8437 + ... + 15683.

It is an arithmetic number, because the mean of its divisors is an integer number (3737552).

Almost surely, 2^87398820 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 87398820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134551872).

87398820 is an abundant number, since it is smaller than the sum of its proper divisors (181704924).

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

87398820 is a wasteful number, since it uses less digits than its factorization.

87398820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7329 (or 7324 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 87398820 is about 9348.7336040771. The cubic root of 87398820 is about 443.7808146293.

The spelling of 87398820 in words is "eighty-seven million, three hundred ninety-eight thousand, eight hundred twenty".