86314464 has 48 divisors (see below), whose sum is σ = 251753040. Its totient is φ = 28771200.

The previous prime is 86314453. The next prime is 86314477. The reversal of 86314464 is 46441368.

It is a tau number, because it is divible by the number of its divisors (48).

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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49087 + ... + 50814.

It is an arithmetic number, because the mean of its divisors is an integer number (5244855).

Almost surely, 2^86314464 is an apocalyptic number.

It is an amenable number.

86314464 is an abundant number, since it is smaller than the sum of its proper divisors (165438576).

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

86314464 is a wasteful number, since it uses less digits than its factorization.

86314464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99920 (or 99906 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 86314464 is about 9290.5577873452. The cubic root of 86314464 is about 441.9378440201.

The spelling of 86314464 in words is "eighty-six million, three hundred fourteen thousand, four hundred sixty-four".