86464512 has 72 divisors (see below), whose sum is σ = 249778620. Its totient is φ = 28815360.

The previous prime is 86464507. The next prime is 86464517. The reversal of 86464512 is 21546468.

86464512 is a `hidden beast` number, since 8 + 6 + 4 + 645 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (86464507) and next prime (86464517).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×86464512² = 14952223670796288, which contains 22 as substring.

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 (86464517) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16087 + ... + 20777.

Almost surely, 2^86464512 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 86464512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124889310).

86464512 is an abundant number, since it is smaller than the sum of its proper divisors (163314108).

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

86464512 is a wasteful number, since it uses less digits than its factorization.

86464512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4719 (or 4696 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 86464512 is about 9298.6295764483. The cubic root of 86464512 is about 442.1937822038.

The spelling of 86464512 in words is "eighty-six million, four hundred sixty-four thousand, five hundred twelve".