1215085872 has 400 divisors, whose sum is σ = 4473324800. Its totient is φ = 275996160.

The previous prime is 1215085849. The next prime is 1215085909. The reversal of 1215085872 is 2785805121.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1215085872.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63951879 + ... + 63951897.

It is an arithmetic number, because the mean of its divisors is an integer number (11183312).

Almost surely, 2^1215085872 is an apocalyptic number.

1215085872 is a gapful number since it is divisible by the number (12) 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 1215085872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236662400).

1215085872 is an abundant number, since it is smaller than the sum of its proper divisors (3258238928).

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

1215085872 is a wasteful number, since it uses less digits than its factorization.

1215085872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 39.

The square root of 1215085872 is about 34858.0818749397. The cubic root of 1215085872 is about 1067.0931296471.

The spelling of 1215085872 in words is "one billion, two hundred fifteen million, eighty-five thousand, eight hundred seventy-two".