368880 has 80 divisors (see below), whose sum is σ = 1205280. Its totient is φ = 93184.

The previous prime is 368873. The next prime is 368881. The reversal of 368880 is 88863.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 13.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6934 + ... + 6986.

It is an arithmetic number, because the mean of its divisors is an integer number (15066).

2³⁶⁸⁸⁸⁰ is an apocalyptic number.

368880 is a gapful number since it is divisible by the number (30) 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 368880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602640).

368880 is an abundant number, since it is smaller than the sum of its proper divisors (836400).

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

368880 is a wasteful number, since it uses less digits than its factorization.

368880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 368880 is about 607.3549209482. The cubic root of 368880 is about 71.7180330025.

The spelling of 368880 in words is "three hundred sixty-eight thousand, eight hundred eighty".