21779712 has 144 divisors (see below), whose sum is σ = 67697280. Its totient is φ = 6893568.

The previous prime is 21779707. The next prime is 21779713. The reversal of 21779712 is 21797712.

It is a tau number, because it is divible by the number of its divisors (144).

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 (21779713) 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, 158908 + ... + 159044.

It is an arithmetic number, because the mean of its divisors is an integer number (470120).

Almost surely, 2^21779712 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 21779712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33848640).

21779712 is an abundant number, since it is smaller than the sum of its proper divisors (45917568).

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

21779712 is a wasteful number, since it uses less digits than its factorization.

21779712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 165 counting only the distinct ones).

The product of its digits is 12348, while the sum is 36.

The square root of 21779712 is about 4666.8739001606. The cubic root of 21779712 is about 279.2655582322.

The spelling of 21779712 in words is "twenty-one million, seven hundred seventy-nine thousand, seven hundred twelve".