312640000 has 100 divisors (see below), whose sum is σ = 781385814. Its totient is φ = 124928000.

The previous prime is 312639961. The next prime is 312640019. The reversal of 312640000 is 46213.

312640000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 41576704 + 271063296 = 6448^2 + 16464^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable 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 9 ways as a sum of consecutive naturals, for example, 319512 + ... + 320488.

Almost surely, 2^312640000 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 312640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390692907).

312640000 is an abundant number, since it is smaller than the sum of its proper divisors (468745814).

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

312640000 is an frugal number, since it uses more digits than its factorization.

312640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 312640000 is about 17681.6288842403. The cubic root of 312640000 is about 678.7057272770.

Adding to 312640000 its reverse (46213), we get a palindrome (312686213).

The spelling of 312640000 in words is "three hundred twelve million, six hundred forty thousand".