827484984 has 224 divisors, whose sum is σ = 2518272000. Its totient is φ = 254041920.

The previous prime is 827484943. The next prime is 827484989. The reversal of 827484984 is 489484728.

827484984 is a `hidden beast` number, since 82 + 7 + 484 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 827484984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827484989) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4158117 + ... + 4158315.

Almost surely, 2^827484984 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 827484984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259136000).

827484984 is an abundant number, since it is smaller than the sum of its proper divisors (1690787016).

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

827484984 is a wasteful number, since it uses less digits than its factorization.

827484984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 258 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 827484984 is about 28766.0387262480. The cubic root of 827484984 is about 938.8294559056.

The spelling of 827484984 in words is "eight hundred twenty-seven million, four hundred eighty-four thousand, nine hundred eighty-four".