86022576 has 120 divisors (see below), whose sum is σ = 264625920. Its totient is φ = 25964928.

The previous prime is 86022571. The next prime is 86022577. The reversal of 86022576 is 67522068.

86022576 is a `hidden beast` number, since 8 + 60 + 22 + 576 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 86022576.

It is not an unprimeable number, because it can be changed into a prime (86022571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62245 + ... + 63611.

It is an arithmetic number, because the mean of its divisors is an integer number (2205216).

Almost surely, 2^86022576 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 86022576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132312960).

86022576 is an abundant number, since it is smaller than the sum of its proper divisors (178603344).

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

86022576 is a wasteful number, since it uses less digits than its factorization.

86022576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 86022576 is about 9274.8356319667. The cubic root of 86022576 is about 441.4391171192.

It can be divided in two parts, 860 and 22576, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 86022576 in words is "eighty-six million, twenty-two thousand, five hundred seventy-six".