163312960 has 112 divisors (see below), whose sum is σ = 407895552. Its totient is φ = 62208000.

The previous prime is 163312951. The next prime is 163312967. The reversal of 163312960 is 69213361.

It is a super-2 number, since 2×163312960² = 53342245807923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163312967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1001839 + ... + 1002001.

Almost surely, 2^163312960 is an apocalyptic number.

163312960 is a gapful number since it is divisible by the number (10) 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 163312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203947776).

163312960 is an abundant number, since it is smaller than the sum of its proper divisors (244582592).

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

163312960 is a wasteful number, since it uses less digits than its factorization.

163312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 163312960 is about 12779.3959168656. The cubic root of 163312960 is about 546.6049371768.

It can be divided in two parts, 16331 and 2960, that added together give a palindrome (19291).

The spelling of 163312960 in words is "one hundred sixty-three million, three hundred twelve thousand, nine hundred sixty".