86526624 has 96 divisors (see below), whose sum is σ = 235339776. Its totient is φ = 27820800.

The previous prime is 86526623. The next prime is 86526637. The reversal of 86526624 is 42662568.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (86526623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 572949 + ... + 573099.

It is an arithmetic number, because the mean of its divisors is an integer number (2451456).

Almost surely, 2^86526624 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 86526624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117669888).

86526624 is an abundant number, since it is smaller than the sum of its proper divisors (148813152).

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

86526624 is a wasteful number, since it uses less digits than its factorization.

86526624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 86526624 is about 9301.9688238566. The cubic root of 86526624 is about 442.2996405324.

The spelling of 86526624 in words is "eighty-six million, five hundred twenty-six thousand, six hundred twenty-four".