1215995760 has 240 divisors, whose sum is σ = 4872679200. Its totient is φ = 277917696.

The previous prime is 1215995689. The next prime is 1215995779. The reversal of 1215995760 is 675995121.

1215995760 is a `hidden beast` number, since 1 + 2 + 1 + 599 + 57 + 6 + 0 = 666.

1215995760 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100096 + ... + 111584.

It is an arithmetic number, because the mean of its divisors is an integer number (20302830).

Almost surely, 2^1215995760 is an apocalyptic number.

1215995760 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 1215995760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436339600).

1215995760 is an abundant number, since it is smaller than the sum of its proper divisors (3656683440).

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

1215995760 is a wasteful number, since it uses less digits than its factorization.

1215995760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11525 (or 11506 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The square root of 1215995760 is about 34871.1307531029. The cubic root of 1215995760 is about 1067.3594189146.

The spelling of 1215995760 in words is "one billion, two hundred fifteen million, nine hundred ninety-five thousand, seven hundred sixty".