827167264 has 192 divisors, whose sum is σ = 2143798272. Its totient is φ = 304819200.

The previous prime is 827167219. The next prime is 827167277. The reversal of 827167264 is 462761728.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 827167264.

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, 3920119 + ... + 3920329.

It is an arithmetic number, because the mean of its divisors is an integer number (11165616).

Almost surely, 2^827167264 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 827167264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071899136).

827167264 is an abundant number, since it is smaller than the sum of its proper divisors (1316631008).

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

827167264 is a wasteful number, since it uses less digits than its factorization.

827167264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 311 counting only the distinct ones).

The product of its digits is 225792, while the sum is 43.

The square root of 827167264 is about 28760.5157116488. The cubic root of 827167264 is about 938.7092833003.

The spelling of 827167264 in words is "eight hundred twenty-seven million, one hundred sixty-seven thousand, two hundred sixty-four".