986794144 has 144 divisors (see below), whose sum is σ = 2362906728. Its totient is φ = 404103168.

The previous prime is 986794117. The next prime is 986794153. The reversal of 986794144 is 441497689.

It can be written as a sum of positive squares in 4 ways, for example, as 906010000 + 80784144 = 30100^2 + 8988^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 986794091 and 986794100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4235052 + ... + 4235284.

Almost surely, 2^986794144 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 986794144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181453364).

986794144 is an abundant number, since it is smaller than the sum of its proper divisors (1376112584).

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

986794144 is a wasteful number, since it uses less digits than its factorization.

986794144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 352 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 52.

The square root of 986794144 is about 31413.2797396260. The cubic root of 986794144 is about 995.5785273924.

The spelling of 986794144 in words is "nine hundred eighty-six million, seven hundred ninety-four thousand, one hundred forty-four".