986503680 has 240 divisors, whose sum is σ = 3493062144. Its totient is φ = 257187840.

The previous prime is 986503667. The next prime is 986503699. The reversal of 986503680 is 86305689.

986503680 is a `hidden beast` number, since 9 + 86 + 503 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1082425 + ... + 1083335.

Almost surely, 2^986503680 is an apocalyptic number.

986503680 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 986503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746531072).

986503680 is an abundant number, since it is smaller than the sum of its proper divisors (2506558464).

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

986503680 is a wasteful number, since it uses less digits than its factorization.

986503680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 986503680 is about 31408.6561317099. The cubic root of 986503680 is about 995.4808345753.

The spelling of 986503680 in words is "nine hundred eighty-six million, five hundred three thousand, six hundred eighty".