827036688 has 20 divisors (see below), whose sum is σ = 2136511568. Its totient is φ = 275678880.

The previous prime is 827036687. The next prime is 827036713. The reversal of 827036688 is 886630728.

It is a happy number.

It is a super-4 number, since 4×827036688⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 17229931 = 827036688 / (8 + 2 + 7 + 0 + 3 + 6 + 6 + 8 + 8).

It is not an unprimeable number, because it can be changed into a prime (827036687) 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 3 ways as a sum of consecutive naturals, for example, 8614918 + ... + 8615013.

Almost surely, 2^827036688 is an apocalyptic number.

It is an amenable number.

827036688 is an abundant number, since it is smaller than the sum of its proper divisors (1309474880).

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

827036688 is a wasteful number, since it uses less digits than its factorization.

827036688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17229942 (or 17229936 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 827036688 is about 28758.2455654026. The cubic root of 827036688 is about 938.6598860546.

The spelling of 827036688 in words is "eight hundred twenty-seven million, thirty-six thousand, six hundred eighty-eight".