215416872 has 192 divisors, whose sum is σ = 672235200. Its totient is φ = 61716480.

The previous prime is 215416841. The next prime is 215416891. The reversal of 215416872 is 278614512.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1906288 + ... + 1906400.

It is an arithmetic number, because the mean of its divisors is an integer number (3501225).

Almost surely, 2^215416872 is an apocalyptic number.

215416872 is a gapful number since it is divisible by the number (22) 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 215416872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336117600).

215416872 is an abundant number, since it is smaller than the sum of its proper divisors (456818328).

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

215416872 is a wasteful number, since it uses less digits than its factorization.

215416872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 241 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 215416872 is about 14677.0866318899. The cubic root of 215416872 is about 599.4595800566.

The spelling of 215416872 in words is "two hundred fifteen million, four hundred sixteen thousand, eight hundred seventy-two".