826426224 has 180 divisors, whose sum is σ = 2593014840. Its totient is φ = 245306880.

The previous prime is 826426201. The next prime is 826426247. The reversal of 826426224 is 422624628.

826426224 is a `hidden beast` number, since 8 + 2 + 6 + 426 + 224 = 666.

It is an interprime number because it is at equal distance from previous prime (826426201) and next prime (826426247).

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 705159 + ... + 706329.

It is an arithmetic number, because the mean of its divisors is an integer number (14405638).

Almost surely, 2^826426224 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 826426224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296507420).

826426224 is an abundant number, since it is smaller than the sum of its proper divisors (1766588616).

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

826426224 is a wasteful number, since it uses less digits than its factorization.

826426224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1218 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 826426224 is about 28747.6298849140. The cubic root of 826426224 is about 938.4288769096.

The spelling of 826426224 in words is "eight hundred twenty-six million, four hundred twenty-six thousand, two hundred twenty-four".