989753120 has 144 divisors (see below), whose sum is σ = 2490849144. Its totient is φ = 371404800.

The previous prime is 989753117. The next prime is 989753123. The reversal of 989753120 is 21357989.

It is an interprime number because it is at equal distance from previous prime (989753117) and next prime (989753123).

It can be written as a sum of positive squares in 4 ways, for example, as 428821264 + 560931856 = 20708^2 + 23684^2 .

It is a super-2 number, since 2×989753120² = 1959222477099468800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (989753123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6304082 + ... + 6304238.

Almost surely, 2^989753120 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 989753120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245424572).

989753120 is an abundant number, since it is smaller than the sum of its proper divisors (1501096024).

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

989753120 is a wasteful number, since it uses less digits than its factorization.

989753120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 44.

The square root of 989753120 is about 31460.3420197556. The cubic root of 989753120 is about 996.5726399566.

The spelling of 989753120 in words is "nine hundred eighty-nine million, seven hundred fifty-three thousand, one hundred twenty".