369360 has 120 divisors (see below), whose sum is σ = 1354080. Its totient is φ = 93312.

The previous prime is 369353. The next prime is 369361. The reversal of 369360 is 63963.

369360 = 9² + 10² + ... + 103².

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (369361) by changing a digit.

369360 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 23 ways as a sum of consecutive naturals, for example, 19431 + ... + 19449.

It is an arithmetic number, because the mean of its divisors is an integer number (11284).

2³⁶⁹³⁶⁰ is an apocalyptic number.

369360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 369360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677040).

369360 is an abundant number, since it is smaller than the sum of its proper divisors (984720).

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

369360 is a wasteful number, since it uses less digits than its factorization.

369360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 369360 is about 607.7499485808. The cubic root of 369360 is about 71.7491268858.

It can be divided in two parts, 369 and 360, that added together give a 6-th power (729 = 3⁶).

The spelling of 369360 in words is "three hundred sixty-nine thousand, three hundred sixty".