86812992 has 112 divisors (see below), whose sum is σ = 291713920. Its totient is φ = 24800256.

The previous prime is 86812969. The next prime is 86812997. The reversal of 86812992 is 29921868.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86812997) 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, 8508 + ... + 15684.

Almost surely, 2^86812992 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 86812992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145856960).

86812992 is an abundant number, since it is smaller than the sum of its proper divisors (204900928).

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

86812992 is a wasteful number, since it uses less digits than its factorization.

86812992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7205 (or 7189 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 86812992 is about 9317.3489791893. The cubic root of 86812992 is about 442.7870473073.

The spelling of 86812992 in words is "eighty-six million, eight hundred twelve thousand, nine hundred ninety-two".