86482944 has 224 divisors, whose sum is σ = 283098240. Its totient is φ = 25952256.

The previous prime is 86482943. The next prime is 86482951. The reversal of 86482944 is 44928468.

86482944 is a `hidden beast` number, since 86 + 482 + 94 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 86482944.

It is not an unprimeable number, because it can be changed into a prime (86482943) 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, 3760117 + ... + 3760139.

Almost surely, 2^86482944 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 86482944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141549120).

86482944 is an abundant number, since it is smaller than the sum of its proper divisors (196615296).

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

86482944 is a wasteful number, since it uses less digits than its factorization.

86482944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 45 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 86482944 is about 9299.6206374239. The cubic root of 86482944 is about 442.2252014011.

The spelling of 86482944 in words is "eighty-six million, four hundred eighty-two thousand, nine hundred forty-four".