312492096 has 336 divisors, whose sum is σ = 1118347776. Its totient is φ = 81395712.

The previous prime is 312492073. The next prime is 312492097. The reversal of 312492096 is 690294213.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 312492096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312492097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3221520 + ... + 3221616.

It is an arithmetic number, because the mean of its divisors is an integer number (3328416).

Almost surely, 2^312492096 is an apocalyptic number.

312492096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312492096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559173888).

312492096 is an abundant number, since it is smaller than the sum of its proper divisors (805855680).

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

312492096 is a wasteful number, since it uses less digits than its factorization.

312492096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 312492096 is about 17677.4459693701. The cubic root of 312492096 is about 678.5986828320.

The spelling of 312492096 in words is "three hundred twelve million, four hundred ninety-two thousand, ninety-six".