86109792 has 96 divisors (see below), whose sum is σ = 240226560. Its totient is φ = 26949120.

The previous prime is 86109791. The next prime is 86109823. The reversal of 86109792 is 29790168.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86109791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129942 + ... + 130602.

It is an arithmetic number, because the mean of its divisors is an integer number (2502360).

Almost surely, 2^86109792 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 86109792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120113280).

86109792 is an abundant number, since it is smaller than the sum of its proper divisors (154116768).

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

86109792 is a wasteful number, since it uses less digits than its factorization.

86109792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 86109792 is about 9279.5361953063. The cubic root of 86109792 is about 441.5882545185.

The spelling of 86109792 in words is "eighty-six million, one hundred nine thousand, seven hundred ninety-two".