86880880 has 80 divisors (see below), whose sum is σ = 215637984. Its totient is φ = 32440320.

The previous prime is 86880853. The next prime is 86880883. The reversal of 86880880 is 8808868.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 86880880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86880883) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 262315 + ... + 262645.

Almost surely, 2^86880880 is an apocalyptic number.

86880880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86880880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107818992).

86880880 is an abundant number, since it is smaller than the sum of its proper divisors (128757104).

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

86880880 is a wasteful number, since it uses less digits than its factorization.

86880880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 46.

The square root of 86880880 is about 9320.9913635836. The cubic root of 86880880 is about 442.9024374662.

The spelling of 86880880 in words is "eighty-six million, eight hundred eighty thousand, eight hundred eighty".