366789120 has 160 divisors (see below), whose sum is σ = 1183799232. Its totient is φ = 96878592.

The previous prime is 366789113. The next prime is 366789121. The reversal of 366789120 is 21987663.

It is a happy number.

366789120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (366789121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1251694 + ... + 1251986.

Almost surely, 2^366789120 is an apocalyptic number.

366789120 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 366789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591899616).

366789120 is an abundant number, since it is smaller than the sum of its proper divisors (817010112).

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

366789120 is a wasteful number, since it uses less digits than its factorization.

366789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 366789120 is about 19151.7393465972. The cubic root of 366789120 is about 715.8227248561.

The spelling of 366789120 in words is "three hundred sixty-six million, seven hundred eighty-nine thousand, one hundred twenty".