312048 has 60 divisors (see below), whose sum is σ = 957528. Its totient is φ = 94080.

The previous prime is 312047. The next prime is 312071. The reversal of 312048 is 840213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 312048.

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 312048.

It is not an unprimeable number, because it can be changed into a prime (312043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1486 + ... + 1682.

2³¹²⁰⁴⁸ 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 312048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478764).

312048 is an abundant number, since it is smaller than the sum of its proper divisors (645480).

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

312048 is a wasteful number, since it uses less digits than its factorization.

312048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 312048 is about 558.6125669908. The cubic root of 312048 is about 67.8277068475.

The spelling of 312048 in words is "three hundred twelve thousand, forty-eight".