86424624 has 160 divisors (see below), whose sum is σ = 291648000. Its totient is φ = 24157440.

The previous prime is 86424623. The next prime is 86424629. The reversal of 86424624 is 42642468.

It is a happy number.

86424624 is a `hidden beast` number, since 8 + 6 + 4 + 24 + 624 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86424623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61077 + ... + 62475.

It is an arithmetic number, because the mean of its divisors is an integer number (1822800).

Almost surely, 2^86424624 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 86424624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145824000).

86424624 is an abundant number, since it is smaller than the sum of its proper divisors (205223376).

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

86424624 is a wasteful number, since it uses less digits than its factorization.

86424624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1428 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 86424624 is about 9296.4844968407. The cubic root of 86424624 is about 442.1257738068.

The spelling of 86424624 in words is "eighty-six million, four hundred twenty-four thousand, six hundred twenty-four".