988680096 has 72 divisors (see below), whose sum is σ = 2817962784. Its totient is φ = 328809600.

The previous prime is 988680079. The next prime is 988680137. The reversal of 988680096 is 690086889.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130821 + ... + 138171.

It is an arithmetic number, because the mean of its divisors is an integer number (39138372).

Almost surely, 2^988680096 is an apocalyptic number.

988680096 is a gapful number since it is divisible by the number (96) 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 988680096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408981392).

988680096 is an abundant number, since it is smaller than the sum of its proper divisors (1829282688).

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

988680096 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (988680095) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (7834).

988680096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7834 (or 7823 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 988680096 is about 31443.2837979750. The cubic root of 988680096 is about 996.2123706431.

The spelling of 988680096 in words is "nine hundred eighty-eight million, six hundred eighty thousand, ninety-six".