360396 has 48 divisors (see below), whose sum is σ = 967680. Its totient is φ = 115920.

The previous prime is 360391. The next prime is 360407. The reversal of 360396 is 693063.

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

360396 is a modest number, since divided by 396 gives 36 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5041 + ... + 5111.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2³⁶⁰³⁹⁶ is an apocalyptic number.

360396 is a gapful number since it is divisible by the number (36) 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 360396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

360396 is an abundant number, since it is smaller than the sum of its proper divisors (607284).

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

360396 is a wasteful number, since it uses less digits than its factorization.

360396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 123 counting only the distinct ones).

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

The square root of 360396 is about 600.3299092999. The cubic root of 360396 is about 71.1639404158.

The spelling of 360396 in words is "three hundred sixty thousand, three hundred ninety-six".