986121216 has 154 divisors (see below), whose sum is σ = 2957804462. Its totient is φ = 328458240.

The previous prime is 986121179. The next prime is 986121229. The reversal of 986121216 is 612121689.

It can be written as a sum of positive squares in only one way, i.e., 967458816 + 18662400 = 31104^2 + 4320^2 .

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 745836 + ... + 747156.

Almost surely, 2^986121216 is an apocalyptic number.

986121216 is a gapful number since it is divisible by the number (96) 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 986121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478902231).

986121216 is an abundant number, since it is smaller than the sum of its proper divisors (1971683246).

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

986121216 is an equidigital number, since it uses as much as digits as its factorization.

986121216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1326 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 986121216 is about 31402.5670288274. The cubic root of 986121216 is about 995.3521698092.

The spelling of 986121216 in words is "nine hundred eighty-six million, one hundred twenty-one thousand, two hundred sixteen".