201312960 has 56 divisors (see below), whose sum is σ = 639171696. Its totient is φ = 53683200.

The previous prime is 201312953. The next prime is 201312973. The reversal of 201312960 is 69213102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201312960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103891 + ... + 105810.

Almost surely, 2^201312960 is an apocalyptic number.

201312960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201312960 is an abundant number, since it is smaller than the sum of its proper divisors (437858736).

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

201312960 is a wasteful number, since it uses less digits than its factorization.

201312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209721 (or 209711 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 201312960 is about 14188.4798340062. The cubic root of 201312960 is about 586.0804635829.

The spelling of 201312960 in words is "two hundred one million, three hundred twelve thousand, nine hundred sixty".