368800 has 36 divisors (see below), whose sum is σ = 902286. Its totient is φ = 147200.

The previous prime is 368791. The next prime is 368801. The reversal of 368800 is 8863.

It can be written as a sum of positive squares in 3 ways, for example, as 242064 + 126736 = 492^2 + 356^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 13.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (368801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 570 + ... + 1030.

2³⁶⁸⁸⁰⁰ 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 368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451143).

368800 is an abundant number, since it is smaller than the sum of its proper divisors (533486).

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

368800 is a wasteful number, since it uses less digits than its factorization.

368800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 368800 is about 607.2890580276. The cubic root of 368800 is about 71.7128480666.

It can be divided in two parts, 36 and 8800, that added together give a square (8836 = 94²).

The spelling of 368800 in words is "three hundred sixty-eight thousand, eight hundred".