1226511360 has 264 divisors, whose sum is σ = 4355688480. Its totient is φ = 318947328.

The previous prime is 1226511347. The next prime is 1226511367. The reversal of 1226511360 is 631156221.

1226511360 is a `hidden beast` number, since 1 + 2 + 2 + 651 + 1 + 3 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226511367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1981131 + ... + 1981749.

It is an arithmetic number, because the mean of its divisors is an integer number (16498820).

Almost surely, 2^1226511360 is an apocalyptic number.

1226511360 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 1226511360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177844240).

1226511360 is an abundant number, since it is smaller than the sum of its proper divisors (3129177120).

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

1226511360 is a wasteful number, since it uses less digits than its factorization.

1226511360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1226511360 is about 35021.5842017462. The cubic root of 1226511360 is about 1070.4273368044.

Adding to 1226511360 its reverse (631156221), we get a palindrome (1857667581).

The spelling of 1226511360 in words is "one billion, two hundred twenty-six million, five hundred eleven thousand, three hundred sixty".