1226624256 has 576 divisors, whose sum is σ = 4573981440. Its totient is φ = 318504960.

The previous prime is 1226624227. The next prime is 1226624257. The reversal of 1226624256 is 6524266221.

1226624256 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 624 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1226624256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226624257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16803036 + ... + 16803108.

It is an arithmetic number, because the mean of its divisors is an integer number (7940940).

Almost surely, 2^1226624256 is an apocalyptic number.

1226624256 is a gapful number since it is divisible by the number (16) 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 1226624256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286990720).

1226624256 is an abundant number, since it is smaller than the sum of its proper divisors (3347357184).

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

1226624256 is a wasteful number, since it uses less digits than its factorization.

1226624256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 1226624256 is about 35023.1959706706. The cubic root of 1226624256 is about 1070.4601788041.

The spelling of 1226624256 in words is "one billion, two hundred twenty-six million, six hundred twenty-four thousand, two hundred fifty-six".