86391072 has 36 divisors (see below), whose sum is σ = 245675430. Its totient is φ = 28796928.

The previous prime is 86391061. The next prime is 86391077. The reversal of 86391072 is 27019368.

86391072 is a `hidden beast` number, since 8 + 639 + 10 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74028816 + 12362256 = 8604^2 + 3516^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86391077) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 149697 + ... + 150272.

Almost surely, 2^86391072 is an apocalyptic number.

It is an amenable number.

86391072 is an abundant number, since it is smaller than the sum of its proper divisors (159284358).

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

86391072 is a wasteful number, since it uses less digits than its factorization.

86391072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299985 (or 299974 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 86391072 is about 9294.6797685558. The cubic root of 86391072 is about 442.0685519821.

The spelling of 86391072 in words is "eighty-six million, three hundred ninety-one thousand, seventy-two".