368023920 has 480 divisors, whose sum is σ = 1424908800. Its totient is φ = 78059520.

The previous prime is 368023889. The next prime is 368023921. The reversal of 368023920 is 29320863.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368023921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12690466 + ... + 12690494.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 2^368023920 is an apocalyptic number.

368023920 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 368023920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712454400).

368023920 is an abundant number, since it is smaller than the sum of its proper divisors (1056884880).

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

368023920 is a wasteful number, since it uses less digits than its factorization.

368023920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 368023920 is about 19183.9495412180. The cubic root of 368023920 is about 716.6251004076.

The spelling of 368023920 in words is "three hundred sixty-eight million, twenty-three thousand, nine hundred twenty".