86493624 has 160 divisors (see below), whose sum is σ = 268896000. Its totient is φ = 23115456.

The previous prime is 86493619. The next prime is 86493647. The reversal of 86493624 is 42639468.

It is a happy number.

It is a super-2 number, since 2×86493624² = 14962293985306752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1094817 + ... + 1094895.

It is an arithmetic number, because the mean of its divisors is an integer number (1680600).

Almost surely, 2^86493624 is an apocalyptic number.

86493624 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86493624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134448000).

86493624 is an abundant number, since it is smaller than the sum of its proper divisors (182402376).

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

86493624 is a wasteful number, since it uses less digits than its factorization.

86493624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 110 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 86493624 is about 9300.1948366687. The cubic root of 86493624 is about 442.2434044923.

The spelling of 86493624 in words is "eighty-six million, four hundred ninety-three thousand, six hundred twenty-four".