920380320 has 240 divisors, whose sum is σ = 3319481088. Its totient is φ = 240053760.

The previous prime is 920380319. The next prime is 920380327. The reversal of 920380320 is 23083029.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (920380327) 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 39 ways as a sum of consecutive naturals, for example, 608365 + ... + 609875.

Almost surely, 2^920380320 is an apocalyptic number.

920380320 is a gapful number since it is divisible by the number (90) 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 920380320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659740544).

920380320 is an abundant number, since it is smaller than the sum of its proper divisors (2399100768).

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

920380320 is a wasteful number, since it uses less digits than its factorization.

920380320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 920380320 is about 30337.7705179534. The cubic root of 920380320 is about 972.7228276767.

The spelling of 920380320 in words is "nine hundred twenty million, three hundred eighty thousand, three hundred twenty".