312160 has 24 divisors (see below), whose sum is σ = 737856. Its totient is φ = 124800.

The previous prime is 312121. The next prime is 312161. The reversal of 312160 is 61213.

312160 = T₁₂₉ + T₁₃₀ + ... + T₁₅₈.

It is a self number, because there is not a number n which added to its sum of digits gives 312160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312161) by changing a digit.

312160 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 816 + ... + 1135.

It is an arithmetic number, because the mean of its divisors is an integer number (30744).

2³¹²¹⁶⁰ is an apocalyptic number.

It is an amenable number.

312160 is an abundant number, since it is smaller than the sum of its proper divisors (425696).

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

312160 is a wasteful number, since it uses less digits than its factorization.

312160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1958 counting only the distinct ones).

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

The square root of 312160 is about 558.7128063684. The cubic root of 312160 is about 67.8358207643.

Adding to 312160 its reverse (61213), we get a palindrome (373373).

The spelling of 312160 in words is "three hundred twelve thousand, one hundred sixty".