1226778624 has 288 divisors, whose sum is σ = 3884025600. Its totient is φ = 371589120.

The previous prime is 1226778617. The next prime is 1226778649. The reversal of 1226778624 is 4268776221.

It is a happy number.

1226778624 is a `hidden beast` number, since 12 + 2 + 6 + 7 + 7 + 8 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (451584) is a multiple of the sum of its prime divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 1226778624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10856392 + ... + 10856504.

It is an arithmetic number, because the mean of its divisors is an integer number (13486200).

Almost surely, 2^1226778624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1226778624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942012800).

1226778624 is an abundant number, since it is smaller than the sum of its proper divisors (2657246976).

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

1226778624 is a wasteful number, since it uses less digits than its factorization.

1226778624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 168 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 1226778624 is about 35025.3996979335. The cubic root of 1226778624 is about 1070.5050819504.

The spelling of 1226778624 in words is "one billion, two hundred twenty-six million, seven hundred seventy-eight thousand, six hundred twenty-four".