663160320 has 240 divisors, whose sum is σ = 2326793040. Its totient is φ = 174538752.

The previous prime is 663160291. The next prime is 663160367. The reversal of 663160320 is 23061366.

663160320 is a `hidden beast` number, since 6 + 6 + 31 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×663160320² = 879563220045004800, which contains 22 as substring.

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, 2465146 + ... + 2465414.

It is an arithmetic number, because the mean of its divisors is an integer number (9694971).

Almost surely, 2^663160320 is an apocalyptic number.

663160320 is a gapful number since it is divisible by the number (60) 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 663160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163396520).

663160320 is an abundant number, since it is smaller than the sum of its proper divisors (1663632720).

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

663160320 is a wasteful number, since it uses less digits than its factorization.

663160320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 663160320 is about 25751.8993474268. The cubic root of 663160320 is about 872.0462338362.

The spelling of 663160320 in words is "six hundred sixty-three million, one hundred sixty thousand, three hundred twenty".