363720 has 64 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 82944.

The previous prime is 363719. The next prime is 363731. The reversal of 363720 is 27363.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624 + ... + 1056.

It is an arithmetic number, because the mean of its divisors is an integer number (19530).

2³⁶³⁷²⁰ is an apocalyptic number.

363720 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 363720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

363720 is an abundant number, since it is smaller than the sum of its proper divisors (886200).

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

363720 is a wasteful number, since it uses less digits than its factorization.

363720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 363720 is about 603.0920327778. The cubic root of 363720 is about 71.3820573358.

The spelling of 363720 in words is "three hundred sixty-three thousand, seven hundred twenty".