1226833920 has 264 divisors, whose sum is σ = 4580178876. Its totient is φ = 301989888.

The previous prime is 1226833889. The next prime is 1226833931. The reversal of 1226833920 is 293386221.

1226833920 is a `hidden beast` number, since 1 + 2 + 268 + 3 + 392 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1141899264 + 84934656 = 33792^2 + 9216^2 .

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

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94371834 + ... + 94371846.

Almost surely, 2^1226833920 is an apocalyptic number.

1226833920 is a gapful number since it is divisible by the number (10) 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 1226833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290089438).

1226833920 is an abundant number, since it is smaller than the sum of its proper divisors (3353344956).

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

1226833920 is an frugal number, since it uses more digits than its factorization.

1226833920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1226833920 is about 35026.1890590455. The cubic root of 1226833920 is about 1070.5211657433.

The spelling of 1226833920 in words is "one billion, two hundred twenty-six million, eight hundred thirty-three thousand, nine hundred twenty".