390642 has 32 divisors (see below), whose sum is σ = 912384. Its totient is φ = 109200.

The previous prime is 390581. The next prime is 390647. The reversal of 390642 is 246093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390647) 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, 2917 + ... + 3047.

It is an arithmetic number, because the mean of its divisors is an integer number (28512).

2³⁹⁰⁶⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456192).

390642 is an abundant number, since it is smaller than the sum of its proper divisors (521742).

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

390642 is a wasteful number, since it uses less digits than its factorization.

390642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 390642 is about 625.0135998520. The cubic root of 390642 is about 73.1015038837.

The spelling of 390642 in words is "three hundred ninety thousand, six hundred forty-two".