312630 has 32 divisors (see below), whose sum is σ = 795744. Its totient is φ = 78336.

The previous prime is 312623. The next prime is 312643. The reversal of 312630 is 36213.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312630.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204 + ... + 816.

It is an arithmetic number, because the mean of its divisors is an integer number (24867).

2³¹²⁶³⁰ is an apocalyptic number.

312630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397872).

312630 is an abundant number, since it is smaller than the sum of its proper divisors (483114).

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

312630 is a wasteful number, since it uses less digits than its factorization.

312630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 312630 is about 559.1332578196. The cubic root of 312630 is about 67.8698490914.

Adding to 312630 its reverse (36213), we get a palindrome (348843).

The spelling of 312630 in words is "three hundred twelve thousand, six hundred thirty".