320914560 has 192 divisors, whose sum is σ = 1081918080. Its totient is φ = 80898048.

The previous prime is 320914549. The next prime is 320914597. The reversal of 320914560 is 65419023.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 692889 + ... + 693351.

It is an arithmetic number, because the mean of its divisors is an integer number (5634990).

Almost surely, 2^320914560 is an apocalyptic number.

320914560 is a gapful number since it is divisible by the number (30) 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 320914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540959040).

320914560 is an abundant number, since it is smaller than the sum of its proper divisors (761003520).

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

320914560 is a wasteful number, since it uses less digits than its factorization.

320914560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 320914560 is about 17914.0883106007. The cubic root of 320914560 is about 684.6413737168.

The spelling of 320914560 in words is "three hundred twenty million, nine hundred fourteen thousand, five hundred sixty".