989600640 has 256 divisors, whose sum is σ = 3730752000. Its totient is φ = 218308608.

The previous prime is 989600597. The next prime is 989600657. The reversal of 989600640 is 46006989.

989600640 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 989600592 and 989600601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388491 + ... + 391029.

It is an arithmetic number, because the mean of its divisors is an integer number (14573250).

Almost surely, 2^989600640 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 989600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865376000).

989600640 is an abundant number, since it is smaller than the sum of its proper divisors (2741151360).

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

989600640 is a wasteful number, since it uses less digits than its factorization.

989600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 989600640 is about 31457.9185579720. The cubic root of 989600640 is about 996.5214604597.

The spelling of 989600640 in words is "nine hundred eighty-nine million, six hundred thousand, six hundred forty".