1228559760 has 240 divisors, whose sum is σ = 4484712960. Its totient is φ = 300257280.

The previous prime is 1228559747. The next prime is 1228559767. The reversal of 1228559760 is 679558221.

1228559760 is a `hidden beast` number, since 1 + 2 + 28 + 559 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1228559767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422632 + ... + 425528.

It is an arithmetic number, because the mean of its divisors is an integer number (18686304).

Almost surely, 2^1228559760 is an apocalyptic number.

1228559760 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 1228559760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242356480).

1228559760 is an abundant number, since it is smaller than the sum of its proper divisors (3256153200).

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

1228559760 is a wasteful number, since it uses less digits than its factorization.

1228559760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 1228559760 is about 35050.8168235777. The cubic root of 1228559760 is about 1071.0229132504.

The spelling of 1228559760 in words is "one billion, two hundred twenty-eight million, five hundred fifty-nine thousand, seven hundred sixty".