390016 has 32 divisors (see below), whose sum is σ = 850680. Its totient is φ = 176640.

The previous prime is 390001. The next prime is 390043. The reversal of 390016 is 610093.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×390016² = 304224960512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 389975 and 390002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1270 + ... + 1546.

2³⁹⁰⁰¹⁶ 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 390016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425340).

390016 is an abundant number, since it is smaller than the sum of its proper divisors (460664).

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

390016 is a wasteful number, since it uses less digits than its factorization.

390016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 390016 is about 624.5126099608. The cubic root of 390016 is about 73.0624348577.

It can be divided in two parts, 3900 and 16, that added together give a triangular number (3916 = T₈₈).

The spelling of 390016 in words is "three hundred ninety thousand, sixteen".