122826648 has 64 divisors (see below), whose sum is σ = 353675520. Its totient is φ = 34819200.

The previous prime is 122826631. The next prime is 122826677. The reversal of 122826648 is 846628221.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19218 + ... + 24798.

It is an arithmetic number, because the mean of its divisors is an integer number (5526180).

Almost surely, 2^122826648 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 122826648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176837760).

122826648 is an abundant number, since it is smaller than the sum of its proper divisors (230848872).

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

122826648 is a wasteful number, since it uses less digits than its factorization.

122826648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5728 (or 5724 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 122826648 is about 11082.7184390834. The cubic root of 122826648 is about 497.0852386840.

The spelling of 122826648 in words is "one hundred twenty-two million, eight hundred twenty-six thousand, six hundred forty-eight".