312648 has 32 divisors (see below), whose sum is σ = 893760. Its totient is φ = 89280.

The previous prime is 312643. The next prime is 312673. The reversal of 312648 is 846213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

312648 is a modest number, since divided by 648 gives 312 as remainder.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312648.

It is not an unprimeable number, because it can be changed into a prime (312643) by changing a digit.

312648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 763 + ... + 1098.

It is an arithmetic number, because the mean of its divisors is an integer number (27930).

2³¹²⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

312648 is an abundant number, since it is smaller than the sum of its proper divisors (581112).

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

312648 is a wasteful number, since it uses less digits than its factorization.

312648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1873 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 312648 is about 559.1493539297. The cubic root of 312648 is about 67.8711516256.

The spelling of 312648 in words is "three hundred twelve thousand, six hundred forty-eight".