827070912 has 224 divisors, whose sum is σ = 2599334400. Its totient is φ = 260340480.

The previous prime is 827070911. The next prime is 827070913. The reversal of 827070912 is 219070728.

It is an interprime number because it is at equal distance from previous prime (827070911) and next prime (827070913).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827070911) 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 31 ways as a sum of consecutive naturals, for example, 2659237 + ... + 2659547.

Almost surely, 2^827070912 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 827070912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299667200).

827070912 is an abundant number, since it is smaller than the sum of its proper divisors (1772263488).

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

827070912 is an equidigital number, since it uses as much as digits as its factorization.

827070912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 827070912 is about 28758.8405885912. The cubic root of 827070912 is about 938.6728335870.

The spelling of 827070912 in words is "eight hundred twenty-seven million, seventy thousand, nine hundred twelve".