312520560 has 160 divisors (see below), whose sum is σ = 1081859328. Its totient is φ = 73973760.

The previous prime is 312520547. The next prime is 312520567. The reversal of 312520560 is 65025213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 312520560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312520567) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 112144 + ... + 114896.

Almost surely, 2^312520560 is an apocalyptic number.

312520560 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 312520560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540929664).

312520560 is an abundant number, since it is smaller than the sum of its proper divisors (769338768).

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

312520560 is a wasteful number, since it uses less digits than its factorization.

312520560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 312520560 is about 17678.2510447159. The cubic root of 312520560 is about 678.6192860693.

Adding to 312520560 its reverse (65025213), we get a palindrome (377545773).

The spelling of 312520560 in words is "three hundred twelve million, five hundred twenty thousand, five hundred sixty".