312298896 has 320 divisors, whose sum is σ = 1079930880. Its totient is φ = 75479040.

The previous prime is 312298873. The next prime is 312298901. The reversal of 312298896 is 698892213.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4398541 + ... + 4398611.

It is an arithmetic number, because the mean of its divisors is an integer number (3374784).

Almost surely, 2^312298896 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 312298896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539965440).

312298896 is an abundant number, since it is smaller than the sum of its proper divisors (767631984).

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

312298896 is a wasteful number, since it uses less digits than its factorization.

312298896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 312298896 is about 17671.9805341676. The cubic root of 312298896 is about 678.4588048475.

The spelling of 312298896 in words is "three hundred twelve million, two hundred ninety-eight thousand, eight hundred ninety-six".