390632 has 32 divisors (see below), whose sum is σ = 838080. Its totient is φ = 168960.

The previous prime is 390581. The next prime is 390647. The reversal of 390632 is 236093.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 390598 and 390607.

It is an unprimeable number.

390632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1928 + ... + 2120.

It is an arithmetic number, because the mean of its divisors is an integer number (26190).

2³⁹⁰⁶³² 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 390632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419040).

390632 is an abundant number, since it is smaller than the sum of its proper divisors (447448).

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

390632 is a wasteful number, since it uses less digits than its factorization.

390632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 390632 is about 625.0055999749. The cubic root of 390632 is about 73.1008801060.

The spelling of 390632 in words is "three hundred ninety thousand, six hundred thirty-two".