86878920 has 128 divisors (see below), whose sum is σ = 270864000. Its totient is φ = 22278144.

The previous prime is 86878919. The next prime is 86878949. The reversal of 86878920 is 2987868.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 86878920.

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 31 ways as a sum of consecutive naturals, for example, 583006 + ... + 583154.

It is an arithmetic number, because the mean of its divisors is an integer number (2116125).

Almost surely, 2^86878920 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 86878920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135432000).

86878920 is an abundant number, since it is smaller than the sum of its proper divisors (183985080).

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

86878920 is a wasteful number, since it uses less digits than its factorization.

86878920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 86878920 is about 9320.8862239596. The cubic root of 86878920 is about 442.8991068703.

The spelling of 86878920 in words is "eighty-six million, eight hundred seventy-eight thousand, nine hundred twenty".