998274816 has 432 divisors, whose sum is σ = 3811062528. Its totient is φ = 243302400.

The previous prime is 998274709. The next prime is 998274829. The reversal of 998274816 is 618472899.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3015771 + ... + 3016101.

It is an arithmetic number, because the mean of its divisors is an integer number (8821904).

Almost surely, 2^998274816 is an apocalyptic number.

998274816 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 998274816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905531264).

998274816 is an abundant number, since it is smaller than the sum of its proper divisors (2812787712).

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

998274816 is a wasteful number, since it uses less digits than its factorization.

998274816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 371 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 998274816 is about 31595.4872727103. The cubic root of 998274816 is about 999.4246076538.

The spelling of 998274816 in words is "nine hundred ninety-eight million, two hundred seventy-four thousand, eight hundred sixteen".