21966048 has 72 divisors (see below), whose sum is σ = 67282488. Its totient is φ = 6757632.

The previous prime is 21966019. The next prime is 21966053. The reversal of 21966048 is 84066912.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×21966048³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 811 + ... + 6677.

It is an arithmetic number, because the mean of its divisors is an integer number (934479).

Almost surely, 2^21966048 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 21966048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33641244).

21966048 is an abundant number, since it is smaller than the sum of its proper divisors (45316440).

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

21966048 is a wasteful number, since it uses less digits than its factorization.

21966048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5896 (or 5885 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 21966048 is about 4686.7950669941. The cubic root of 21966048 is about 280.0597151549.

The spelling of 21966048 in words is "twenty-one million, nine hundred sixty-six thousand, forty-eight".