988107120 has 640 divisors, whose sum is σ = 4579706880. Its totient is φ = 189112320.

The previous prime is 988107101. The next prime is 988107149. The reversal of 988107120 is 21701889.

988107120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2161932 + ... + 2162388.

It is an arithmetic number, because the mean of its divisors is an integer number (7155792).

Almost surely, 2^988107120 is an apocalyptic number.

988107120 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 988107120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289853440).

988107120 is an abundant number, since it is smaller than the sum of its proper divisors (3591599760).

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

988107120 is a wasteful number, since it uses less digits than its factorization.

988107120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 988107120 is about 31434.1712154146. The cubic root of 988107120 is about 996.0198863790.

The spelling of 988107120 in words is "nine hundred eighty-eight million, one hundred seven thousand, one hundred twenty".