21963072 has 56 divisors (see below), whose sum is σ = 58944256. Its totient is φ = 7216128.

The previous prime is 21963017. The next prime is 21963077. The reversal of 21963072 is 27036912.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21963077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13233 + ... + 14799.

It is an arithmetic number, because the mean of its divisors is an integer number (1052576).

Almost surely, 2^21963072 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 21963072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29472128).

21963072 is an abundant number, since it is smaller than the sum of its proper divisors (36981184).

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

21963072 is a wasteful number, since it uses less digits than its factorization.

21963072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 21963072 is about 4686.4775684943. The cubic root of 21963072 is about 280.0470669177.

Adding to 21963072 its reverse (27036912), we get a palindrome (48999984).

The spelling of 21963072 in words is "twenty-one million, nine hundred sixty-three thousand, seventy-two".