986605920 has 240 divisors, whose sum is σ = 3507189840. Its totient is φ = 261190656.

The previous prime is 986605909. The next prime is 986605927. The reversal of 986605920 is 29506689.

986605920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (986605927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3486099 + ... + 3486381.

It is an arithmetic number, because the mean of its divisors is an integer number (14613291).

Almost surely, 2^986605920 is an apocalyptic number.

986605920 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 986605920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753594920).

986605920 is an abundant number, since it is smaller than the sum of its proper divisors (2520583920).

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

986605920 is a wasteful number, since it uses less digits than its factorization.

986605920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 986605920 is about 31410.2836663409. The cubic root of 986605920 is about 995.5152235143.

The spelling of 986605920 in words is "nine hundred eighty-six million, six hundred five thousand, nine hundred twenty".