981635688 has 192 divisors, whose sum is σ = 2983780800. Its totient is φ = 289059840.

The previous prime is 981635671. The next prime is 981635689. The reversal of 981635688 is 886536189.

It is not an unprimeable number, because it can be changed into a prime (981635689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7165156 + ... + 7165292.

It is an arithmetic number, because the mean of its divisors is an integer number (15540525).

Almost surely, 2^981635688 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 981635688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491890400).

981635688 is an abundant number, since it is smaller than the sum of its proper divisors (2002145112).

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

981635688 is a wasteful number, since it uses less digits than its factorization.

981635688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 345 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 981635688 is about 31331.0658612183. The cubic root of 981635688 is about 993.8407036231.

The spelling of 981635688 in words is "nine hundred eighty-one million, six hundred thirty-five thousand, six hundred eighty-eight".