826808688 has 160 divisors (see below), whose sum is σ = 2476984320. Its totient is φ = 263761920.

The previous prime is 826808681. The next prime is 826808711. The reversal of 826808688 is 886808628.

It is a super-2 number, since 2×826808688² = 1367225213104562688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826808681) 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, 1432656 + ... + 1433232.

It is an arithmetic number, because the mean of its divisors is an integer number (15481152).

Almost surely, 2^826808688 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 826808688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238492160).

826808688 is an abundant number, since it is smaller than the sum of its proper divisors (1650175632).

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

826808688 is a wasteful number, since it uses less digits than its factorization.

826808688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The square root of 826808688 is about 28754.2812116735. The cubic root of 826808688 is about 938.5736205854.

The spelling of 826808688 in words is "eight hundred twenty-six million, eight hundred eight thousand, six hundred eighty-eight".