826226240 has 336 divisors, whose sum is σ = 2501798400. Its totient is φ = 258306048.

The previous prime is 826226227. The next prime is 826226251. The reversal of 826226240 is 42622628.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 826226197 and 826226206.

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, 10458521 + ... + 10458599.

Almost surely, 2^826226240 is an apocalyptic number.

826226240 is a gapful number since it is divisible by the number (80) 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 826226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250899200).

826226240 is an abundant number, since it is smaller than the sum of its proper divisors (1675572160).

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

826226240 is a wasteful number, since it uses less digits than its factorization.

826226240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 826226240 is about 28744.1514051120. The cubic root of 826226240 is about 938.3531750925.

Adding to 826226240 its reverse (42622628), we get a palindrome (868848868).

The spelling of 826226240 in words is "eight hundred twenty-six million, two hundred twenty-six thousand, two hundred forty".