86359572 has 144 divisors (see below), whose sum is σ = 250967808. Its totient is φ = 24837120.

The previous prime is 86359531. The next prime is 86359573. The reversal of 86359572 is 27595368.

It is a happy number.

86359572 is a `hidden beast` number, since 8 + 635 + 9 + 5 + 7 + 2 = 666.

Its product of digits (453600) is a multiple of the sum of its prime divisors (225).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86359573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 764188 + ... + 764300.

It is an arithmetic number, because the mean of its divisors is an integer number (1742832).

Almost surely, 2^86359572 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 86359572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125483904).

86359572 is an abundant number, since it is smaller than the sum of its proper divisors (164608236).

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

86359572 is a wasteful number, since it uses less digits than its factorization.

86359572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 225 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 86359572 is about 9292.9850962971. The cubic root of 86359572 is about 442.0148162898.

The spelling of 86359572 in words is "eighty-six million, three hundred fifty-nine thousand, five hundred seventy-two".