312000160 has 96 divisors (see below), whose sum is σ = 762048000. Its totient is φ = 120637440.

The previous prime is 312000127. The next prime is 312000163. The reversal of 312000160 is 61000213.

It is a self number, because there is not a number n which added to its sum of digits gives 312000160.

It is not an unprimeable number, because it can be changed into a prime (312000163) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1305321 + ... + 1305559.

It is an arithmetic number, because the mean of its divisors is an integer number (7938000).

Almost surely, 2^312000160 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 312000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381024000).

312000160 is an abundant number, since it is smaller than the sum of its proper divisors (450047840).

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

312000160 is a wasteful number, since it uses less digits than its factorization.

312000160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 312000160 is about 17663.5262617632. The cubic root of 312000160 is about 678.2424045417.

Adding to 312000160 its reverse (61000213), we get a palindrome (373000373).

The spelling of 312000160 in words is "three hundred twelve million, one hundred sixty", and thus it is an aban number.