986618880 has 528 divisors, whose sum is σ = 3880522464. Its totient is φ = 238878720.

The previous prime is 986618863. The next prime is 986618887. The reversal of 986618880 is 88816689.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (986618887) 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, 16174050 + ... + 16174110.

Almost surely, 2^986618880 is an apocalyptic number.

986618880 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 986618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940261232).

986618880 is an abundant number, since it is smaller than the sum of its proper divisors (2893903584).

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

986618880 is a wasteful number, since it uses less digits than its factorization.

986618880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 986618880 is about 31410.4899675252. The cubic root of 986618880 is about 995.5195825059.

The spelling of 986618880 in words is "nine hundred eighty-six million, six hundred eighteen thousand, eight hundred eighty".