1228004736 has 128 divisors (see below), whose sum is σ = 3848386560. Its totient is φ = 339517440.

The previous prime is 1228004731. The next prime is 1228004773. The reversal of 1228004736 is 6374008221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1228004697 and 1228004706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1228004731) 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 15 ways as a sum of consecutive naturals, for example, 75960 + ... + 90696.

It is an arithmetic number, because the mean of its divisors is an integer number (30065520).

Almost surely, 2^1228004736 is an apocalyptic number.

1228004736 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 1228004736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924193280).

1228004736 is an abundant number, since it is smaller than the sum of its proper divisors (2620381824).

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

1228004736 is a wasteful number, since it uses less digits than its factorization.

1228004736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14792 (or 14780 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 1228004736 is about 35042.8985102545. The cubic root of 1228004736 is about 1070.8616043259.

The spelling of 1228004736 in words is "one billion, two hundred twenty-eight million, four thousand, seven hundred thirty-six".