366720 has 64 divisors (see below), whose sum is σ = 1175040. Its totient is φ = 97280.

The previous prime is 366713. The next prime is 366721. The reversal of 366720 is 27663.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (366721) by changing a digit.

366720 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 7 ways as a sum of consecutive naturals, for example, 1825 + ... + 2015.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

2³⁶⁶⁷²⁰ is an apocalyptic number.

366720 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 366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587520).

366720 is an abundant number, since it is smaller than the sum of its proper divisors (808320).

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

366720 is a wasteful number, since it uses less digits than its factorization.

366720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 366720 is about 605.5741077688. The cubic root of 366720 is about 71.5777757351.

The spelling of 366720 in words is "three hundred sixty-six thousand, seven hundred twenty".