390112 has 24 divisors (see below), whose sum is σ = 783216. Its totient is φ = 191232.

The previous prime is 390109. The next prime is 390113. The reversal of 390112 is 211093.

390112 = 34² + 35² + ... + 106².

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2253 + ... + 2419.

It is an arithmetic number, because the mean of its divisors is an integer number (32634).

2³⁹⁰¹¹² is an apocalyptic number.

390112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

390112 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

390112 is a wasteful number, since it uses less digits than its factorization.

390112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 390112 is about 624.5894651689. The cubic root of 390112 is about 73.0684289864.

The spelling of 390112 in words is "three hundred ninety thousand, one hundred twelve".