827874432 has 640 divisors, whose sum is σ = 3305681280. Its totient is φ = 199065600.

The previous prime is 827874431. The next prime is 827874451. The reversal of 827874432 is 234478728.

827874432 is a `hidden beast` number, since 82 + 78 + 74 + 432 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (827874431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13571682 + ... + 13571742.

It is an arithmetic number, because the mean of its divisors is an integer number (5165127).

Almost surely, 2^827874432 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 827874432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652840640).

827874432 is an abundant number, since it is smaller than the sum of its proper divisors (2477806848).

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

827874432 is a wasteful number, since it uses less digits than its factorization.

827874432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 827874432 is about 28772.8071623191. The cubic root of 827874432 is about 938.9767165475.

The spelling of 827874432 in words is "eight hundred twenty-seven million, eight hundred seventy-four thousand, four hundred thirty-two".