312560640 has 704 divisors, whose sum is σ = 1414886400. Its totient is φ = 63700992.

The previous prime is 312560627. The next prime is 312560641. The reversal of 312560640 is 46065213.

312560640 is a `hidden beast` number, since 3 + 12 + 5 + 6 + 0 + 640 = 666.

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 (312560641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16450551 + ... + 16450569.

Almost surely, 2^312560640 is an apocalyptic number.

312560640 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 312560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707443200).

312560640 is an abundant number, since it is smaller than the sum of its proper divisors (1102325760).

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

312560640 is a wasteful number, since it uses less digits than its factorization.

312560640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

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

The square root of 312560640 is about 17679.3846046745. The cubic root of 312560640 is about 678.6482952523.

The spelling of 312560640 in words is "three hundred twelve million, five hundred sixty thousand, six hundred forty".