363688 has 24 divisors (see below), whose sum is σ = 741150. Its totient is φ = 167232.

The previous prime is 363683. The next prime is 363691. The reversal of 363688 is 886363.

It can be written as a sum of positive squares in 3 ways, for example, as 91204 + 272484 = 302^2 + 522^2 .

It is a super-2 number, since 2×363688² = 264537922688, which contains 22 as substring.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (363683) by changing a digit.

363688 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 5 ways as a sum of consecutive naturals, for example, 1218 + ... + 1486.

2³⁶³⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370575).

363688 is an abundant number, since it is smaller than the sum of its proper divisors (377462).

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

363688 is a wasteful number, since it uses less digits than its factorization.

363688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 284 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 363688 is about 603.0655022466. The cubic root of 363688 is about 71.3799638822.

The spelling of 363688 in words is "three hundred sixty-three thousand, six hundred eighty-eight".