21766096 has 80 divisors (see below), whose sum is σ = 50711040. Its totient is φ = 8933760.

The previous prime is 21766079. The next prime is 21766097. The reversal of 21766096 is 69066712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21766097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76771 + ... + 77053.

It is an arithmetic number, because the mean of its divisors is an integer number (633888).

Almost surely, 2^21766096 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 21766096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25355520).

21766096 is an abundant number, since it is smaller than the sum of its proper divisors (28944944).

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

21766096 is a wasteful number, since it uses less digits than its factorization.

21766096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 21766096 is about 4665.4148797293. The cubic root of 21766096 is about 279.2073500472.

The spelling of 21766096 in words is "twenty-one million, seven hundred sixty-six thousand, ninety-six".