986204160 has 480 divisors, whose sum is σ = 3745942200. Its totient is φ = 247726080.

The previous prime is 986204159. The next prime is 986204171. The reversal of 986204160 is 61402689.

It can be written as a sum of positive squares in 4 ways, for example, as 544195584 + 442008576 = 23328^2 + 21024^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24053740 + ... + 24053780.

Almost surely, 2^986204160 is an apocalyptic number.

986204160 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 986204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872971100).

986204160 is an abundant number, since it is smaller than the sum of its proper divisors (2759738040).

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

986204160 is a wasteful number, since it uses less digits than its factorization.

986204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 986204160 is about 31403.8876574223. The cubic root of 986204160 is about 995.3800758361.

The spelling of 986204160 in words is "nine hundred eighty-six million, two hundred four thousand, one hundred sixty".