366162720 has 192 divisors, whose sum is σ = 1438166016. Its totient is φ = 76078080.

The previous prime is 366162703. The next prime is 366162721. The reversal of 366162720 is 27261663.

It is a super-3 number, since 3×366162720³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (366162721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32007 + ... + 41913.

It is an arithmetic number, because the mean of its divisors is an integer number (7490448).

Almost surely, 2^366162720 is an apocalyptic number.

366162720 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 366162720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719083008).

366162720 is an abundant number, since it is smaller than the sum of its proper divisors (1072003296).

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

366162720 is a wasteful number, since it uses less digits than its factorization.

366162720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9943 (or 9935 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 366162720 is about 19135.3787524574. The cubic root of 366162720 is about 715.4150002481.

The spelling of 366162720 in words is "three hundred sixty-six million, one hundred sixty-two thousand, seven hundred twenty".