826141248 has 112 divisors (see below), whose sum is σ = 2571658560. Its totient is φ = 259172352.

The previous prime is 826141243. The next prime is 826141249. The reversal of 826141248 is 842141628.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (826141243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15315 + ... + 43437.

Almost surely, 2^826141248 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 826141248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285829280).

826141248 is an abundant number, since it is smaller than the sum of its proper divisors (1745517312).

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

826141248 is a wasteful number, since it uses less digits than its factorization.

826141248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28161 (or 28145 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 826141248 is about 28742.6729445958. The cubic root of 826141248 is about 938.3209985756.

The spelling of 826141248 in words is "eight hundred twenty-six million, one hundred forty-one thousand, two hundred forty-eight".