1226696400 has 150 divisors (see below), whose sum is σ = 4402631222. Its totient is φ = 327110400.

The previous prime is 1226696371. The next prime is 1226696407. The reversal of 1226696400 is 46966221.

1226696400 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 6 + 9 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 353139264 + 873557136 = 18792^2 + 29556^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226696407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13470 + ... + 51330.

Almost surely, 2^1226696400 is an apocalyptic number.

1226696400 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 1226696400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201315611).

1226696400 is an abundant number, since it is smaller than the sum of its proper divisors (3175934822).

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

1226696400 is a wasteful number, since it uses less digits than its factorization.

1226696400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37891 (or 37871 counting only the distinct ones).

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

The square root of 1226696400 is about 35024.2259015099. The cubic root of 1226696400 is about 1070.4811647919.

The spelling of 1226696400 in words is "one billion, two hundred twenty-six million, six hundred ninety-six thousand, four hundred".