86097792 has 192 divisors, whose sum is σ = 268606800. Its totient is φ = 24330240.

The previous prime is 86097731. The next prime is 86097793. The reversal of 86097792 is 29779068.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86097793) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 789834 + ... + 789942.

Almost surely, 2^86097792 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 86097792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134303400).

86097792 is an abundant number, since it is smaller than the sum of its proper divisors (182509008).

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

86097792 is a wasteful number, since it uses less digits than its factorization.

86097792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 86097792 is about 9278.8895887385. The cubic root of 86097792 is about 441.5677407647.

The spelling of 86097792 in words is "eighty-six million, ninety-seven thousand, seven hundred ninety-two".