86368464 has 200 divisors, whose sum is σ = 306934720. Its totient is φ = 22778496.

The previous prime is 86368463. The next prime is 86368493. The reversal of 86368464 is 46486368.

86368464 is a `hidden beast` number, since 8 + 636 + 8 + 4 + 6 + 4 = 666.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 86368464 = 26³ + 442³ = 195³ + 429³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86368463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6643722 + ... + 6643734.

Almost surely, 2^86368464 is an apocalyptic number.

86368464 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 86368464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153467360).

86368464 is an abundant number, since it is smaller than the sum of its proper divisors (220566256).

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

86368464 is an equidigital number, since it uses as much as digits as its factorization.

86368464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 25 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 86368464 is about 9293.4635093704. The cubic root of 86368464 is about 442.0299864316.

The spelling of 86368464 in words is "eighty-six million, three hundred sixty-eight thousand, four hundred sixty-four".