1215643104 has 288 divisors, whose sum is σ = 4094737920. Its totient is φ = 338494464.

The previous prime is 1215643087. The next prime is 1215643151. The reversal of 1215643104 is 4013465121.

It is a happy number.

1215643104 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 643 + 10 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1635757 + ... + 1636499.

It is an arithmetic number, because the mean of its divisors is an integer number (14217840).

Almost surely, 2^1215643104 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 1215643104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047368960).

1215643104 is an abundant number, since it is smaller than the sum of its proper divisors (2879094816).

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

1215643104 is a wasteful number, since it uses less digits than its factorization.

1215643104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1215643104 is about 34866.0738254252. The cubic root of 1215643104 is about 1067.2562258198.

The spelling of 1215643104 in words is "one billion, two hundred fifteen million, six hundred forty-three thousand, one hundred four".