368856 has 48 divisors (see below), whose sum is σ = 1029600. Its totient is φ = 119232.

The previous prime is 368833. The next prime is 368857. The reversal of 368856 is 658863.

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

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 368856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368857) by changing a digit.

368856 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, 3330 + ... + 3438.

It is an arithmetic number, because the mean of its divisors is an integer number (21450).

2³⁶⁸⁸⁵⁶ is an apocalyptic number.

368856 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 368856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514800).

368856 is an abundant number, since it is smaller than the sum of its proper divisors (660744).

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

368856 is a wasteful number, since it uses less digits than its factorization.

368856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 161 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 368856 is about 607.3351628220. The cubic root of 368856 is about 71.7164776004.

The spelling of 368856 in words is "three hundred sixty-eight thousand, eight hundred fifty-six".