369564 has 48 divisors (see below), whose sum is σ = 978432. Its totient is φ = 107712.

The previous prime is 369557. The next prime is 369581. The reversal of 369564 is 465963.

369564 = 1² + 2² + ... + 103².

It is a happy number.

Its product of digits (19440) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 369564.

It is an unprimeable number.

369564 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 15 ways as a sum of consecutive naturals, for example, 3537 + ... + 3639.

It is an arithmetic number, because the mean of its divisors is an integer number (20384).

2³⁶⁹⁵⁶⁴ 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 369564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489216).

369564 is an abundant number, since it is smaller than the sum of its proper divisors (608868).

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

369564 is a wasteful number, since it uses less digits than its factorization.

369564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 144 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 369564 is about 607.9177575955. The cubic root of 369564 is about 71.7623336291.

The spelling of 369564 in words is "three hundred sixty-nine thousand, five hundred sixty-four".