312720 has 40 divisors (see below), whose sum is σ = 970176. Its totient is φ = 83328.

The previous prime is 312709. The next prime is 312727. The reversal of 312720 is 27213.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 312720.

It is not an unprimeable number, because it can be changed into a prime (312727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412 + ... + 891.

2³¹²⁷²⁰ is an apocalyptic number.

312720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312720 is an abundant number, since it is smaller than the sum of its proper divisors (657456).

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

312720 is a wasteful number, since it uses less digits than its factorization.

312720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 312720 is about 559.2137337369. The cubic root of 312720 is about 67.8763612627.

Adding to 312720 its reverse (27213), we get a palindrome (339933).

The spelling of 312720 in words is "three hundred twelve thousand, seven hundred twenty", and thus it is an iban number.