86930880 has 112 divisors (see below), whose sum is σ = 279586944. Its totient is φ = 22881280.

The previous prime is 86930873. The next prime is 86930887. The reversal of 86930880 is 8803968.

It is an interprime number because it is at equal distance from previous prime (86930873) and next prime (86930887).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86930887) 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, 79135 + ... + 80225.

It is an arithmetic number, because the mean of its divisors is an integer number (2496312).

Almost surely, 2^86930880 is an apocalyptic number.

86930880 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 86930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139793472).

86930880 is an abundant number, since it is smaller than the sum of its proper divisors (192656064).

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

86930880 is a wasteful number, since it uses less digits than its factorization.

86930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 86930880 is about 9323.6730959424. The cubic root of 86930880 is about 442.9873847145.

The spelling of 86930880 in words is "eighty-six million, nine hundred thirty thousand, eight hundred eighty".