312360960 has 240 divisors, whose sum is σ = 1056932352. Its totient is φ = 78643200.

The previous prime is 312360949. The next prime is 312360977. The reversal of 312360960 is 69063213.

It is a happy number.

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

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 15 ways as a sum of consecutive naturals, for example, 7618540 + ... + 7618580.

Almost surely, 2^312360960 is an apocalyptic number.

312360960 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 312360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528466176).

312360960 is an abundant number, since it is smaller than the sum of its proper divisors (744571392).

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

312360960 is an equidigital number, since it uses as much as digits as its factorization.

312360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 312360960 is about 17673.7364470561. The cubic root of 312360960 is about 678.5037458519.

The spelling of 312360960 in words is "three hundred twelve million, three hundred sixty thousand, nine hundred sixty".