826122240 has 336 divisors, whose sum is σ = 3005559648. Its totient is φ = 217645056.

The previous prime is 826122233. The next prime is 826122251. The reversal of 826122240 is 42221628.

It is a happy number.

826122240 is a `hidden beast` number, since 8 + 2 + 612 + 2 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9953239 + ... + 9953321.

It is an arithmetic number, because the mean of its divisors is an integer number (8945118).

Almost surely, 2^826122240 is an apocalyptic number.

826122240 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 826122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502779824).

826122240 is an abundant number, since it is smaller than the sum of its proper divisors (2179437408).

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

826122240 is an frugal number, since it uses more digits than its factorization.

826122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 826122240 is about 28742.3422845112. The cubic root of 826122240 is about 938.3138021700.

Adding to 826122240 its reverse (42221628), we get a palindrome (868343868).

The spelling of 826122240 in words is "eight hundred twenty-six million, one hundred twenty-two thousand, two hundred forty".