315216720 has 480 divisors, whose sum is σ = 1384411392. Its totient is φ = 62373888.

The previous prime is 315216697. The next prime is 315216731. The reversal of 315216720 is 27612513.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1113699 + ... + 1113981.

Almost surely, 2^315216720 is an apocalyptic number.

315216720 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 315216720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692205696).

315216720 is an abundant number, since it is smaller than the sum of its proper divisors (1069194672).

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

315216720 is a wasteful number, since it uses less digits than its factorization.

315216720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 315216720 is about 17754.3436938683. The cubic root of 315216720 is about 680.5652163362.

The spelling of 315216720 in words is "three hundred fifteen million, two hundred sixteen thousand, seven hundred twenty".