827142264 has 48 divisors (see below), whose sum is σ = 2412501000. Its totient is φ = 254505024.

The previous prime is 827142247. The next prime is 827142313. The reversal of 827142264 is 462241728.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 440914 + ... + 442785.

Almost surely, 2^827142264 is an apocalyptic number.

It is an amenable number.

827142264 is an abundant number, since it is smaller than the sum of its proper divisors (1585358736).

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

827142264 is a wasteful number, since it uses less digits than its factorization.

827142264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883724 (or 883717 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 827142264 is about 28760.0810847258. The cubic root of 827142264 is about 938.6998261366.

The spelling of 827142264 in words is "eight hundred twenty-seven million, one hundred forty-two thousand, two hundred sixty-four".