312096000 has 144 divisors (see below), whose sum is σ = 1036945728. Its totient is φ = 83200000.

The previous prime is 312095981. The next prime is 312096041. The reversal of 312096000 is 690213.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94375 + ... + 97625.

It is an arithmetic number, because the mean of its divisors is an integer number (7201012).

Almost surely, 2^312096000 is an apocalyptic number.

312096000 is a gapful number since it is divisible by the number (30) 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 312096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518472864).

312096000 is an abundant number, since it is smaller than the sum of its proper divisors (724849728).

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

312096000 is an equidigital number, since it uses as much as digits as its factorization.

312096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 312096000 is about 17666.2389885340. The cubic root of 312096000 is about 678.3118447810.

The spelling of 312096000 in words is "three hundred twelve million, ninety-six thousand".