312948096 has 64 divisors (see below), whose sum is σ = 839602800. Its totient is φ = 103270400.

The previous prime is 312948091. The next prime is 312948113. The reversal of 312948096 is 690849213.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312948091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34750 + ... + 42818.

Almost surely, 2^312948096 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 312948096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419801400).

312948096 is an abundant number, since it is smaller than the sum of its proper divisors (526654704).

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

312948096 is a wasteful number, since it uses less digits than its factorization.

312948096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8187 (or 8175 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 312948096 is about 17690.3390583674. The cubic root of 312948096 is about 678.9286011556.

The spelling of 312948096 in words is "three hundred twelve million, nine hundred forty-eight thousand, ninety-six".