87686820 has 96 divisors (see below), whose sum is σ = 293811840. Its totient is φ = 21582720.

The previous prime is 87686791. The next prime is 87686831. The reversal of 87686820 is 2868678.

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, 775 + ... + 13265.

It is an arithmetic number, because the mean of its divisors is an integer number (3060540).

Almost surely, 2^87686820 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 87686820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146905920).

87686820 is an abundant number, since it is smaller than the sum of its proper divisors (206125020).

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

87686820 is a wasteful number, since it uses less digits than its factorization.

87686820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12522 (or 12514 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 87686820 is about 9364.1240914460. The cubic root of 87686820 is about 444.2677347964.

The spelling of 87686820 in words is "eighty-seven million, six hundred eighty-six thousand, eight hundred twenty".