826809984 has 512 divisors, whose sum is σ = 3290112000. Its totient is φ = 197406720.

The previous prime is 826809979. The next prime is 826810007. The reversal of 826809984 is 489908628.

It is a super-2 number, since 2×826809984² = 1367229499284160512, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 826809984.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3459337 + ... + 3459575.

It is an arithmetic number, because the mean of its divisors is an integer number (6426000).

Almost surely, 2^826809984 is an apocalyptic number.

826809984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826809984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645056000).

826809984 is an abundant number, since it is smaller than the sum of its proper divisors (2463302016).

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

826809984 is a wasteful number, since it uses less digits than its factorization.

826809984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 826809984 is about 28754.3037474393. The cubic root of 826809984 is about 938.5741109813.

The spelling of 826809984 in words is "eight hundred twenty-six million, eight hundred nine thousand, nine hundred eighty-four".