368164224 has 128 divisors (see below), whose sum is σ = 1093276800. Its totient is φ = 121969152.

The previous prime is 368164187. The next prime is 368164229. The reversal of 368164224 is 422461863.

368164224 is a `hidden beast` number, since 3 + 6 + 8 + 1 + 642 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368164229) 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, 1060819 + ... + 1061165.

It is an arithmetic number, because the mean of its divisors is an integer number (8541225).

Almost surely, 2^368164224 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 368164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546638400).

368164224 is an abundant number, since it is smaller than the sum of its proper divisors (725112576).

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

368164224 is a wasteful number, since it uses less digits than its factorization.

368164224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 659 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 368164224 is about 19187.6059997072. The cubic root of 368164224 is about 716.7161566208.

The spelling of 368164224 in words is "three hundred sixty-eight million, one hundred sixty-four thousand, two hundred twenty-four".