215966016 has 168 divisors, whose sum is σ = 732251520. Its totient is φ = 59544576.

The previous prime is 215965999. The next prime is 215966017. The reversal of 215966016 is 610669512.

215966016 is a `hidden beast` number, since 2 + 1 + 596 + 60 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 (215966017) 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 23 ways as a sum of consecutive naturals, for example, 116005 + ... + 117851.

It is an arithmetic number, because the mean of its divisors is an integer number (4358640).

Almost surely, 2^215966016 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 215966016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366125760).

215966016 is an abundant number, since it is smaller than the sum of its proper divisors (516285504).

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

215966016 is a wasteful number, since it uses less digits than its factorization.

215966016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 215966016 is about 14695.7822520613. The cubic root of 215966016 is about 599.9685316829.

The spelling of 215966016 in words is "two hundred fifteen million, nine hundred sixty-six thousand, sixteen".