20968416 has 96 divisors (see below), whose sum is σ = 69914880. Its totient is φ = 5989248.

The previous prime is 20968411. The next prime is 20968427. The reversal of 20968416 is 61486902.

It is a tau number, because it is divible by the number of its divisors (96).

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 (20968411) 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, 4315 + ... + 7781.

It is an arithmetic number, because the mean of its divisors is an integer number (728280).

Almost surely, 2^20968416 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 20968416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34957440).

20968416 is an abundant number, since it is smaller than the sum of its proper divisors (48946464).

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

20968416 is a wasteful number, since it uses less digits than its factorization.

20968416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493 (or 3479 counting only the distinct ones).

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

The square root of 20968416 is about 4579.1283013255. The cubic root of 20968416 is about 275.7540341733.

The spelling of 20968416 in words is "twenty million, nine hundred sixty-eight thousand, four hundred sixteen".