363888 has 90 divisors (see below), whose sum is σ = 1228344. Its totient is φ = 98496.

The previous prime is 363887. The next prime is 363889. The reversal of 363888 is 888363.

It is an interprime number because it is at equal distance from previous prime (363887) and next prime (363889).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a zygodrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363888.

It is not an unprimeable number, because it can be changed into a prime (363887) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19143 + ... + 19161.

2³⁶³⁸⁸⁸ is an apocalyptic number.

363888 is a gapful number since it is divisible by the number (38) 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 363888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614172).

363888 is an abundant number, since it is smaller than the sum of its proper divisors (864456).

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

363888 is a wasteful number, since it uses less digits than its factorization.

363888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 31 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 363888 is about 603.2312989227. The cubic root of 363888 is about 71.3930459531.

The spelling of 363888 in words is "three hundred sixty-three thousand, eight hundred eighty-eight".