988968960 has 576 divisors, whose sum is σ = 4145450400. Its totient is φ = 222953472.

The previous prime is 988968941. The next prime is 988968961. The reversal of 988968960 is 69869889.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988968961) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 13547484 + ... + 13547556.

Almost surely, 2^988968960 is an apocalyptic number.

988968960 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 988968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072725200).

988968960 is an abundant number, since it is smaller than the sum of its proper divisors (3156481440).

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

988968960 is a wasteful number, since it uses less digits than its factorization.

988968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The square root of 988968960 is about 31447.8768758719. The cubic root of 988968960 is about 996.3093827673.

The spelling of 988968960 in words is "nine hundred eighty-eight million, nine hundred sixty-eight thousand, nine hundred sixty".