168086464 has 224 divisors, whose sum is σ = 455168000. Its totient is φ = 60963840.

The previous prime is 168086437. The next prime is 168086467. The reversal of 168086464 is 464680861.

168086464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 168086464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168086467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5422129 + ... + 5422159.

It is an arithmetic number, because the mean of its divisors is an integer number (2032000).

Almost surely, 2^168086464 is an apocalyptic number.

168086464 is a gapful number since it is divisible by the number (14) 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 168086464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227584000).

168086464 is an abundant number, since it is smaller than the sum of its proper divisors (287081536).

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

168086464 is a wasteful number, since it uses less digits than its factorization.

168086464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 168086464 is about 12964.8163889814. The cubic root of 168086464 is about 551.8794807951.

The spelling of 168086464 in words is "one hundred sixty-eight million, eighty-six thousand, four hundred sixty-four".