315717120 has 240 divisors, whose sum is σ = 1114562592. Its totient is φ = 82575360.

The previous prime is 315717119. The next prime is 315717139. The reversal of 315717120 is 21717513.

It is a happy number.

315717120 is a `hidden beast` number, since 3 + 1 + 571 + 71 + 20 = 666.

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

It is a super-2 number, since 2×315717120² = 199354599722188800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1635744 + ... + 1635936.

Almost surely, 2^315717120 is an apocalyptic number.

315717120 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 315717120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557281296).

315717120 is an abundant number, since it is smaller than the sum of its proper divisors (798845472).

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

315717120 is a wasteful number, since it uses less digits than its factorization.

315717120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 315717120 is about 17768.4304315266. The cubic root of 315717120 is about 680.9251536572.

The spelling of 315717120 in words is "three hundred fifteen million, seven hundred seventeen thousand, one hundred twenty".