86935792 has 80 divisors (see below), whose sum is σ = 186595200. Its totient is φ = 39087360.

The previous prime is 86935789. The next prime is 86935801. The reversal of 86935792 is 29753968.

It is a congruent number.

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, 663567 + ... + 663697.

It is an arithmetic number, because the mean of its divisors is an integer number (2332440).

It is a vampire number, since it can be written as 8732 ⋅ 9956 (with its own digits).

Almost surely, 2^86935792 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 86935792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93297600).

86935792 is an abundant number, since it is smaller than the sum of its proper divisors (99659408).

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

86935792 is a wasteful number, since it uses less digits than its factorization.

86935792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 248 counting only the distinct ones).

The product of its digits is 816480, while the sum is 49.

The square root of 86935792 is about 9323.9365077203. The cubic root of 86935792 is about 442.9957281748.

The spelling of 86935792 in words is "eighty-six million, nine hundred thirty-five thousand, seven hundred ninety-two".