86940992 has 56 divisors (see below), whose sum is σ = 187223400. Its totient is φ = 39895040.

The previous prime is 86940967. The next prime is 86941007. The reversal of 86940992 is 29904968.

It can be written as a sum of positive squares in 4 ways, for example, as 14622976 + 72318016 = 3824^2 + 8504^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43634 + ... + 45582.

It is an arithmetic number, because the mean of its divisors is an integer number (3343275).

Almost surely, 2^86940992 is an apocalyptic number.

86940992 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 86940992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93611700).

86940992 is an abundant number, since it is smaller than the sum of its proper divisors (100282408).

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

86940992 is a wasteful number, since it uses less digits than its factorization.

86940992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 47.

The square root of 86940992 is about 9324.2153557283. The cubic root of 86940992 is about 443.0045604858.

The spelling of 86940992 in words is "eighty-six million, nine hundred forty thousand, nine hundred ninety-two".