86881080 has 256 divisors, whose sum is σ = 314979840. Its totient is φ = 18892800.

The previous prime is 86881079. The next prime is 86881117. The reversal of 86881080 is 8018868.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1046719 + ... + 1046801.

It is an arithmetic number, because the mean of its divisors is an integer number (1230390).

Almost surely, 2^86881080 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 86881080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

86881080 is an abundant number, since it is smaller than the sum of its proper divisors (228098760).

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

86881080 is a wasteful number, since it uses less digits than its factorization.

86881080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The square root of 86881080 is about 9321.0020920500. The cubic root of 86881080 is about 442.9027773201.

Subtracting from 86881080 its sum of digits (39), we obtain a square (86881041 = 9321²).

The spelling of 86881080 in words is "eighty-six million, eight hundred eighty-one thousand, eighty".