86460864 has 112 divisors (see below), whose sum is σ = 272905728. Its totient is φ = 23620608.

The previous prime is 86460863. The next prime is 86460877. The reversal of 86460864 is 46806468.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86460863) 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 15 ways as a sum of consecutive naturals, for example, 29514 + ... + 32310.

Almost surely, 2^86460864 is an apocalyptic number.

86460864 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 86460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136452864).

86460864 is an abundant number, since it is smaller than the sum of its proper divisors (186444864).

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

86460864 is a wasteful number, since it uses less digits than its factorization.

86460864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 86460864 is about 9298.4334164417. The cubic root of 86460864 is about 442.1875632917.

The spelling of 86460864 in words is "eighty-six million, four hundred sixty thousand, eight hundred sixty-four".