827529696 has 288 divisors, whose sum is σ = 2914748928. Its totient is φ = 225815040.

The previous prime is 827529649. The next prime is 827529697. The reversal of 827529696 is 696925728.

827529696 is a `hidden beast` number, since 8 + 27 + 529 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827529697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1251606 + ... + 1252266.

It is an arithmetic number, because the mean of its divisors is an integer number (10120656).

Almost surely, 2^827529696 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 827529696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457374464).

827529696 is an abundant number, since it is smaller than the sum of its proper divisors (2087219232).

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

827529696 is a wasteful number, since it uses less digits than its factorization.

827529696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 696 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 827529696 is about 28766.8158821931. The cubic root of 827529696 is about 938.8463650490.

The spelling of 827529696 in words is "eight hundred twenty-seven million, five hundred twenty-nine thousand, six hundred ninety-six".