827541264 has 80 divisors (see below), whose sum is σ = 2351617344. Its totient is φ = 250750720.

The previous prime is 827541263. The next prime is 827541293. The reversal of 827541264 is 462145728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827541263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57412 + ... + 70364.

Almost surely, 2^827541264 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 827541264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175808672).

827541264 is an abundant number, since it is smaller than the sum of its proper divisors (1524076080).

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

827541264 is a wasteful number, since it uses less digits than its factorization.

827541264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12997 (or 12969 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 827541264 is about 28767.0169464962. The cubic root of 827541264 is about 938.8507397255.

The spelling of 827541264 in words is "eight hundred twenty-seven million, five hundred forty-one thousand, two hundred sixty-four".