827414336 has 56 divisors (see below), whose sum is σ = 1880981760. Its totient is φ = 353751552.

The previous prime is 827414297. The next prime is 827414389. The reversal of 827414336 is 633414728.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×827414336² = 1369228966836641792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 827414336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205430 + ... + 209418.

It is an arithmetic number, because the mean of its divisors is an integer number (33588960).

Almost surely, 2^827414336 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 827414336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940490880).

827414336 is an abundant number, since it is smaller than the sum of its proper divisors (1053567424).

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

827414336 is a wasteful number, since it uses less digits than its factorization.

827414336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4471 (or 4461 counting only the distinct ones).

The product of its digits is 96768, while the sum is 38.

The square root of 827414336 is about 28764.8107242165. The cubic root of 827414336 is about 938.8027370679.

The spelling of 827414336 in words is "eight hundred twenty-seven million, four hundred fourteen thousand, three hundred thirty-six".