920881920 has 144 divisors (see below), whose sum is σ = 3361317120. Its totient is φ = 210481152.

The previous prime is 920881909. The next prime is 920881931. The reversal of 920881920 is 29188029.

It is an interprime number because it is at equal distance from previous prime (920881909) and next prime (920881931).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9751 + ... + 44009.

It is an arithmetic number, because the mean of its divisors is an integer number (23342480).

Almost surely, 2^920881920 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 920881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680658560).

920881920 is an abundant number, since it is smaller than the sum of its proper divisors (2440435200).

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

920881920 is a wasteful number, since it uses less digits than its factorization.

920881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34290 (or 34276 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 920881920 is about 30346.0363144843. The cubic root of 920881920 is about 972.8995043358.

The spelling of 920881920 in words is "nine hundred twenty million, eight hundred eighty-one thousand, nine hundred twenty".