86490624 has 80 divisors (see below), whose sum is σ = 251412480. Its totient is φ = 26204160.

The previous prime is 86490623. The next prime is 86490629. The reversal of 86490624 is 42609468.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86490623) 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, 14337 + ... + 19455.

It is an arithmetic number, because the mean of its divisors is an integer number (3142656).

Almost surely, 2^86490624 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 86490624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125706240).

86490624 is an abundant number, since it is smaller than the sum of its proper divisors (164921856).

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

86490624 is a wasteful number, since it uses less digits than its factorization.

86490624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5151 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 86490624 is about 9300.0335483266. The cubic root of 86490624 is about 442.2382914158.

The spelling of 86490624 in words is "eighty-six million, four hundred ninety thousand, six hundred twenty-four".