826242132 has 144 divisors (see below), whose sum is σ = 2185164800. Its totient is φ = 242040960.

The previous prime is 826242121. The next prime is 826242223. The reversal of 826242132 is 231242628.

It is a self number, because there is not a number n which added to its sum of digits gives 826242132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5944119 + ... + 5944257.

Almost surely, 2^826242132 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 826242132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092582400).

826242132 is an abundant number, since it is smaller than the sum of its proper divisors (1358922668).

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

826242132 is a wasteful number, since it uses less digits than its factorization.

826242132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 223 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 826242132 is about 28744.4278426272. The cubic root of 826242132 is about 938.3591912869.

The spelling of 826242132 in words is "eight hundred twenty-six million, two hundred forty-two thousand, one hundred thirty-two".