86440824 has 64 divisors (see below), whose sum is σ = 241440000. Its totient is φ = 28654560.

The previous prime is 86440817. The next prime is 86440829. The reversal of 86440824 is 42804468.

86440824 is a `hidden beast` number, since 8 + 644 + 0 + 8 + 2 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86440829) 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, 41979 + ... + 43989.

It is an arithmetic number, because the mean of its divisors is an integer number (3772500).

Almost surely, 2^86440824 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 86440824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120720000).

86440824 is an abundant number, since it is smaller than the sum of its proper divisors (154999176).

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

86440824 is a wasteful number, since it uses less digits than its factorization.

86440824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 86440824 is about 9297.3557531160. The cubic root of 86440824 is about 442.1533970686.

The spelling of 86440824 in words is "eighty-six million, four hundred forty thousand, eight hundred twenty-four".