23085216 has 192 divisors, whose sum is σ = 84188160. Its totient is φ = 5978880.

The previous prime is 23085203. The next prime is 23085217. The reversal of 23085216 is 61258032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 23085216.

It is not an unprimeable number, because it can be changed into a prime (23085217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66355 + ... + 66701.

It is an arithmetic number, because the mean of its divisors is an integer number (438480).

Almost surely, 2^23085216 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 23085216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42094080).

23085216 is an abundant number, since it is smaller than the sum of its proper divisors (61102944).

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

23085216 is a wasteful number, since it uses less digits than its factorization.

23085216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 370 counting only the distinct ones).

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

The square root of 23085216 is about 4804.7076914210. The cubic root of 23085216 is about 284.7374868055.

The spelling of 23085216 in words is "twenty-three million, eighty-five thousand, two hundred sixteen".