363816 has 48 divisors (see below), whose sum is σ = 1023360. Its totient is φ = 116640.

The previous prime is 363809. The next prime is 363829. The reversal of 363816 is 618363.

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 363816.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2151 + ... + 2313.

It is an arithmetic number, because the mean of its divisors is an integer number (21320).

2³⁶³⁸¹⁶ is an apocalyptic number.

363816 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 363816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511680).

363816 is an abundant number, since it is smaller than the sum of its proper divisors (659544).

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

363816 is a wasteful number, since it uses less digits than its factorization.

363816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 199 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 363816 is about 603.1716173694. The cubic root of 363816 is about 71.3883369599.

The spelling of 363816 in words is "three hundred sixty-three thousand, eight hundred sixteen".