86131760 has 80 divisors (see below), whose sum is σ = 235297440. Its totient is φ = 28907520.

The previous prime is 86131739. The next prime is 86131789. The reversal of 86131760 is 6713168.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7676 + ... + 15204.

It is an arithmetic number, because the mean of its divisors is an integer number (2941218).

Almost surely, 2^86131760 is an apocalyptic number.

86131760 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 86131760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117648720).

86131760 is an abundant number, since it is smaller than the sum of its proper divisors (149165680).

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

86131760 is a wasteful number, since it uses less digits than its factorization.

86131760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7566 (or 7560 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 86131760 is about 9280.7197996707. The cubic root of 86131760 is about 441.6258034264.

The spelling of 86131760 in words is "eighty-six million, one hundred thirty-one thousand, seven hundred sixty".