363240 has 48 divisors (see below), whose sum is σ = 1181700. Its totient is φ = 96768.

The previous prime is 363217. The next prime is 363257. The reversal of 363240 is 42363.

It can be written as a sum of positive squares in 2 ways, for example, as 352836 + 10404 = 594^2 + 102^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363240.

It is an unprimeable number.

363240 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 11 ways as a sum of consecutive naturals, for example, 145 + ... + 864.

2³⁶³²⁴⁰ is an apocalyptic number.

363240 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 363240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590850).

363240 is an abundant number, since it is smaller than the sum of its proper divisors (818460).

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

363240 is a wasteful number, since it uses less digits than its factorization.

363240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 363240 is about 602.6939521847. The cubic root of 363240 is about 71.3506426294.

The spelling of 363240 in words is "three hundred sixty-three thousand, two hundred forty".