368720 has 40 divisors (see below), whose sum is σ = 937440. Its totient is φ = 133760.

The previous prime is 368717. The next prime is 368729. The reversal of 368720 is 27863.

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 13 and base 14.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 368720.

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 368720.

It is not an unprimeable number, because it can be changed into a prime (368729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 671 + ... + 1089.

It is an arithmetic number, because the mean of its divisors is an integer number (23436).

2³⁶⁸⁷²⁰ 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 368720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468720).

368720 is an abundant number, since it is smaller than the sum of its proper divisors (568720).

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

368720 is a wasteful number, since it uses less digits than its factorization.

368720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 368720 is about 607.2231879630. The cubic root of 368720 is about 71.7076623808.

The spelling of 368720 in words is "three hundred sixty-eight thousand, seven hundred twenty".