920749120 has 112 divisors (see below), whose sum is σ = 2322576000. Its totient is φ = 346705920.

The previous prime is 920749099. The next prime is 920749127. The reversal of 920749120 is 21947029.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (920749127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1209540 + ... + 1210300.

Almost surely, 2^920749120 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 920749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161288000).

920749120 is an abundant number, since it is smaller than the sum of its proper divisors (1401826880).

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

920749120 is a wasteful number, since it uses less digits than its factorization.

920749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 920749120 is about 30343.8481409329. The cubic root of 920749120 is about 972.8527349428.

The spelling of 920749120 in words is "nine hundred twenty million, seven hundred forty-nine thousand, one hundred twenty".