826998120 has 384 divisors, whose sum is σ = 3130617600. Its totient is φ = 193729536.

The previous prime is 826998119. The next prime is 826998121. The reversal of 826998120 is 21899628.

It is an interprime number because it is at equal distance from previous prime (826998119) and next prime (826998121).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (826998121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4197862 + ... + 4198058.

It is an arithmetic number, because the mean of its divisors is an integer number (8152650).

Almost surely, 2^826998120 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 826998120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565308800).

826998120 is an abundant number, since it is smaller than the sum of its proper divisors (2303619480).

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

826998120 is a wasteful number, since it uses less digits than its factorization.

826998120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 826998120 is about 28757.5750020755. The cubic root of 826998120 is about 938.6452946837.

The spelling of 826998120 in words is "eight hundred twenty-six million, nine hundred ninety-eight thousand, one hundred twenty".