1228639104 has 576 divisors, whose sum is σ = 4818153600. Its totient is φ = 302330880.

The previous prime is 1228639091. The next prime is 1228639109. The reversal of 1228639104 is 4019368221.

1228639104 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 639 + 10 + 4 = 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1228639109) 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 71 ways as a sum of consecutive naturals, for example, 64665207 + ... + 64665225.

It is an arithmetic number, because the mean of its divisors is an integer number (8364850).

Almost surely, 2^1228639104 is an apocalyptic number.

1228639104 is a gapful number since it is divisible by the number (14) 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 1228639104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409076800).

1228639104 is an abundant number, since it is smaller than the sum of its proper divisors (3589514496).

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

1228639104 is an frugal number, since it uses more digits than its factorization.

1228639104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1228639104 is about 35051.9486476858. The cubic root of 1228639104 is about 1071.0459693566.

The spelling of 1228639104 in words is "one billion, two hundred twenty-eight million, six hundred thirty-nine thousand, one hundred four".