86407992 has 128 divisors (see below), whose sum is σ = 268531200. Its totient is φ = 25516800.

The previous prime is 86407939. The next prime is 86407999. The reversal of 86407992 is 29970468.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86407999) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96973 + ... + 97859.

It is an arithmetic number, because the mean of its divisors is an integer number (2097900).

Almost surely, 2^86407992 is an apocalyptic number.

86407992 is a gapful number since it is divisible by the number (82) 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 86407992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134265600).

86407992 is an abundant number, since it is smaller than the sum of its proper divisors (182123208).

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

86407992 is a wasteful number, since it uses less digits than its factorization.

86407992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 86407992 is about 9295.5899221082. The cubic root of 86407992 is about 442.0974103331.

The spelling of 86407992 in words is "eighty-six million, four hundred seven thousand, nine hundred ninety-two".