827629056 has 320 divisors, whose sum is σ = 2710540800. Its totient is φ = 248168448.

The previous prime is 827629039. The next prime is 827629097. The reversal of 827629056 is 650926728.

It is a super-2 number, since 2×827629056² = 1369939708670902272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6041020 + ... + 6041156.

It is an arithmetic number, because the mean of its divisors is an integer number (8470440).

Almost surely, 2^827629056 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 827629056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355270400).

827629056 is an abundant number, since it is smaller than the sum of its proper divisors (1882911744).

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

827629056 is a wasteful number, since it uses less digits than its factorization.

827629056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 827629056 is about 28768.5428202403. The cubic root of 827629056 is about 938.8839387425.

It can be divided in two parts, 8276290 and 56, that added together give a triangular number (8276346 = T₄₀₆₈).

The spelling of 827629056 in words is "eight hundred twenty-seven million, six hundred twenty-nine thousand, fifty-six".