315066240 has 128 divisors (see below), whose sum is σ = 1115920800. Its totient is φ = 84013056.

The previous prime is 315066229. The next prime is 315066247. The reversal of 315066240 is 42660513.

315066240 is a `hidden beast` number, since 31 + 5 + 0 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315066247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8164 + ... + 26396.

Almost surely, 2^315066240 is an apocalyptic number.

315066240 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 315066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557960400).

315066240 is an abundant number, since it is smaller than the sum of its proper divisors (800854560).

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

315066240 is a wasteful number, since it uses less digits than its factorization.

315066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18261 (or 18243 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 315066240 is about 17750.1053518000. The cubic root of 315066240 is about 680.4569016983.

The spelling of 315066240 in words is "three hundred fifteen million, sixty-six thousand, two hundred forty".