390564 has 36 divisors (see below), whose sum is σ = 1041040. Its totient is φ = 123120.

The previous prime is 390553. The next prime is 390581. The reversal of 390564 is 465093.

It is a happy number.

390564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 399 + ... + 969.

2³⁹⁰⁵⁶⁴ 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 390564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520520).

390564 is an abundant number, since it is smaller than the sum of its proper divisors (650476).

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

390564 is a wasteful number, since it uses less digits than its factorization.

390564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 390564 is about 624.9511980947. The cubic root of 390564 is about 73.0966381355.

Subtracting 390564 from its reverse (465093), we obtain a square (74529 = 273²).

It can be divided in two parts, 39056 and 4, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 390564 in words is "three hundred ninety thousand, five hundred sixty-four".