312001680 has 80 divisors (see below), whose sum is σ = 1024113024. Its totient is φ = 78305280.

The previous prime is 312001667. The next prime is 312001687. The reversal of 312001680 is 86100213.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (312001687) 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, 34156 + ... + 42315.

Almost surely, 2^312001680 is an apocalyptic number.

312001680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312001680 is an abundant number, since it is smaller than the sum of its proper divisors (712111344).

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

312001680 is a wasteful number, since it uses less digits than its factorization.

312001680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76504 (or 76498 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 312001680 is about 17663.5692882271. The cubic root of 312001680 is about 678.2435059586.

Adding to 312001680 its reverse (86100213), we get a palindrome (398101893).

The spelling of 312001680 in words is "three hundred twelve million, one thousand, six hundred eighty".