989521920 has 240 divisors, whose sum is σ = 3549726180. Its totient is φ = 263651328.

The previous prime is 989521909. The next prime is 989521943. The reversal of 989521920 is 29125989.

It can be written as a sum of positive squares in 2 ways, for example, as 985457664 + 4064256 = 31392^2 + 2016^2 .

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 828844 + ... + 830036.

Almost surely, 2^989521920 is an apocalyptic number.

989521920 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 989521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774863090).

989521920 is an abundant number, since it is smaller than the sum of its proper divisors (2560204260).

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

989521920 is a wasteful number, since it uses less digits than its factorization.

989521920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 989521920 is about 31456.6673377839. The cubic root of 989521920 is about 996.4950362483.

The spelling of 989521920 in words is "nine hundred eighty-nine million, five hundred twenty-one thousand, nine hundred twenty".