86122624 has 64 divisors (see below), whose sum is σ = 197357760. Its totient is φ = 36670464.

The previous prime is 86122613. The next prime is 86122627. The reversal of 86122624 is 42622168.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (86122627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248019 + ... + 248365.

It is an arithmetic number, because the mean of its divisors is an integer number (3083715).

Almost surely, 2^86122624 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 86122624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98678880).

86122624 is an abundant number, since it is smaller than the sum of its proper divisors (111235136).

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

86122624 is a wasteful number, since it uses less digits than its factorization.

86122624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 633 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 86122624 is about 9280.2275834163. The cubic root of 86122624 is about 441.6101884508.

It can be divided in two parts, 8612 and 2624, that added together give a square (11236 = 106²).

The spelling of 86122624 in words is "eighty-six million, one hundred twenty-two thousand, six hundred twenty-four".