920378144 has 48 divisors (see below), whose sum is σ = 2087221248. Its totient is φ = 391329792.

The previous prime is 920378131. The next prime is 920378159. The reversal of 920378144 is 441873029.

It is a junction number, because it is equal to n+sod(n) for n = 920378098 and 920378107.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12272 + ... + 44624.

It is an arithmetic number, because the mean of its divisors is an integer number (43483776).

Almost surely, 2^920378144 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 920378144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043610624).

920378144 is an abundant number, since it is smaller than the sum of its proper divisors (1166843104).

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

920378144 is a wasteful number, since it uses less digits than its factorization.

920378144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32497 (or 32489 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 920378144 is about 30337.7346550463. The cubic root of 920378144 is about 972.7220610927.

The spelling of 920378144 in words is "nine hundred twenty million, three hundred seventy-eight thousand, one hundred forty-four".