86132880 has 240 divisors, whose sum is σ = 317551104. Its totient is φ = 20828160.

The previous prime is 86132857. The next prime is 86132881. The reversal of 86132880 is 8823168.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86132881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379327 + ... + 379553.

Almost surely, 2^86132880 is an apocalyptic number.

86132880 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 86132880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158775552).

86132880 is an abundant number, since it is smaller than the sum of its proper divisors (231418224).

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

86132880 is a wasteful number, since it uses less digits than its factorization.

86132880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 86132880 is about 9280.7801396219. The cubic root of 86132880 is about 441.6277176207.

The spelling of 86132880 in words is "eighty-six million, one hundred thirty-two thousand, eight hundred eighty".