826243152 has 160 divisors (see below), whose sum is σ = 2568002304. Its totient is φ = 223948800.

The previous prime is 826243133. The next prime is 826243153. The reversal of 826243152 is 251342628.

826243152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826243153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508902 + ... + 510522.

Almost surely, 2^826243152 is an apocalyptic number.

826243152 is a gapful number since it is divisible by the number (82) 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 826243152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284001152).

826243152 is an abundant number, since it is smaller than the sum of its proper divisors (1741759152).

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

826243152 is a wasteful number, since it uses less digits than its factorization.

826243152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1711 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 826243152 is about 28744.4455851909. The cubic root of 826243152 is about 938.3595774231.

The spelling of 826243152 in words is "eight hundred twenty-six million, two hundred forty-three thousand, one hundred fifty-two".