86343264 has 72 divisors (see below), whose sum is σ = 280622160. Its totient is φ = 24668928.

The previous prime is 86343251. The next prime is 86343317. The reversal of 86343264 is 46234368.

It is a happy number.

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

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19399 + ... + 23430.

It is an arithmetic number, because the mean of its divisors is an integer number (3897530).

Almost surely, 2^86343264 is an apocalyptic number.

86343264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

86343264 is an abundant number, since it is smaller than the sum of its proper divisors (194278896).

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

86343264 is a wasteful number, since it uses less digits than its factorization.

86343264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42852 (or 42841 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 86343264 is about 9292.1076188344. The cubic root of 86343264 is about 441.9869914205.

The spelling of 86343264 in words is "eighty-six million, three hundred forty-three thousand, two hundred sixty-four".