6312960 has 132 divisors (see below), whose sum is σ = 22033908. Its totient is φ = 1671168.

The previous prime is 6312949. The next prime is 6312979. The reversal of 6312960 is 692136.

It is a happy number.

6312960 is a `hidden beast` number, since 631 + 29 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2985984 + 3326976 = 1728^2 + 1824^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46012 + ... + 46148.

Almost surely, 2^6312960 is an apocalyptic number.

6312960 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 6312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11016954).

6312960 is an abundant number, since it is smaller than the sum of its proper divisors (15720948).

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

6312960 is a wasteful number, since it uses less digits than its factorization.

6312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 6312960 is about 2512.5604470341. The cubic root of 6312960 is about 184.8180338841.

The spelling of 6312960 in words is "six million, three hundred twelve thousand, nine hundred sixty".