920378368 has 264 divisors, whose sum is σ = 2469861072. Its totient is φ = 338558976.

The previous prime is 920378257. The next prime is 920378387. The reversal of 920378368 is 863873029.

920378368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11088855 + ... + 11088937.

Almost surely, 2^920378368 is an apocalyptic number.

920378368 is a gapful number since it is divisible by the number (98) 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 920378368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234930536).

920378368 is an abundant number, since it is smaller than the sum of its proper divisors (1549482704).

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

920378368 is a wasteful number, since it uses less digits than its factorization.

920378368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 920378368 is about 30337.7383468181. The cubic root of 920378368 is about 972.7221400058.

It can be divided in two parts, 9203 and 78368, that added together give a triangular number (87571 = T₄₁₈).

The spelling of 920378368 in words is "nine hundred twenty million, three hundred seventy-eight thousand, three hundred sixty-eight".