86350464 has 96 divisors (see below), whose sum is σ = 259365600. Its totient is φ = 27523584.

The previous prime is 86350447. The next prime is 86350519. The reversal of 86350464 is 46405368.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24867 + ... + 28125.

It is an arithmetic number, because the mean of its divisors is an integer number (2701725).

Almost surely, 2^86350464 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 86350464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129682800).

86350464 is an abundant number, since it is smaller than the sum of its proper divisors (173015136).

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

86350464 is a wasteful number, since it uses less digits than its factorization.

86350464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 86350464 is about 9292.4950363183. The cubic root of 86350464 is about 441.9992765629. Note that the first 3 decimals are identical.

The spelling of 86350464 in words is "eighty-six million, three hundred fifty thousand, four hundred sixty-four".