312530680 has 128 divisors (see below), whose sum is σ = 907200000. Its totient is φ = 94026240.

The previous prime is 312530671. The next prime is 312530689. The reversal of 312530680 is 86035213.

It is an interprime number because it is at equal distance from previous prime (312530671) and next prime (312530689).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312530689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87571 + ... + 91069.

It is an arithmetic number, because the mean of its divisors is an integer number (7087500).

Almost surely, 2^312530680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312530680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600000).

312530680 is an abundant number, since it is smaller than the sum of its proper divisors (594669320).

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

312530680 is a wasteful number, since it uses less digits than its factorization.

312530680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3557 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 312530680 is about 17678.5372698083. The cubic root of 312530680 is about 678.6266109773.

Adding to 312530680 its reverse (86035213), we get a palindrome (398565893).

The spelling of 312530680 in words is "three hundred twelve million, five hundred thirty thousand, six hundred eighty".