1226593368 has 640 divisors, whose sum is σ = 4839690240. Its totient is φ = 279936000.

The previous prime is 1226593349. The next prime is 1226593441. The reversal of 1226593368 is 8633956221.

1226593368 is a `hidden beast` number, since 1 + 2 + 26 + 593 + 36 + 8 = 666.

Its product of digits (466560) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20108058 + ... + 20108118.

It is an arithmetic number, because the mean of its divisors is an integer number (7562016).

Almost surely, 2^1226593368 is an apocalyptic number.

1226593368 is a gapful number since it is divisible by the number (18) 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 1226593368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419845120).

1226593368 is an abundant number, since it is smaller than the sum of its proper divisors (3613096872).

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

1226593368 is a wasteful number, since it uses less digits than its factorization.

1226593368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 128 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 1226593368 is about 35022.7550029977. The cubic root of 1226593368 is about 1070.4511935338.

It can be divided in two parts, 1226593 and 368, that added together give a triangular number (1226961 = T₁₅₆₆).

The spelling of 1226593368 in words is "one billion, two hundred twenty-six million, five hundred ninety-three thousand, three hundred sixty-eight".