86921072 has 40 divisors (see below), whose sum is σ = 193365600. Its totient is φ = 37078272.

The previous prime is 86921059. The next prime is 86921099. The reversal of 86921072 is 27012968.

It is a happy number.

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, 23954 + ... + 27342.

It is an arithmetic number, because the mean of its divisors is an integer number (4834140).

Almost surely, 2^86921072 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 86921072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96682800).

86921072 is an abundant number, since it is smaller than the sum of its proper divisors (106444528).

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

86921072 is a wasteful number, since it uses less digits than its factorization.

86921072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 86921072 is about 9323.1471081390. The cubic root of 86921072 is about 442.9707240308.

The spelling of 86921072 in words is "eighty-six million, nine hundred twenty-one thousand, seventy-two".