312620 has 72 divisors (see below), whose sum is σ = 861840. Its totient is φ = 94080.

The previous prime is 312619. The next prime is 312623. The reversal of 312620 is 26213.

Together with 549219 it forms a betrothed pair.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 312595 and 312604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10766 + ... + 10794.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2³¹²⁶²⁰ 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 312620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430920).

312620 is an abundant number, since it is smaller than the sum of its proper divisors (549220).

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

312620 is a wasteful number, since it uses less digits than its factorization.

312620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 312620 is about 559.1243153360. The cubic root of 312620 is about 67.8691254397.

Adding to 312620 its reverse (26213), we get a palindrome (338833).

The spelling of 312620 in words is "three hundred twelve thousand, six hundred twenty".