20896960 has 112 divisors (see below), whose sum is σ = 59984640. Its totient is φ = 6773760.

The previous prime is 20896951. The next prime is 20896963. The reversal of 20896960 is 6969802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (20896963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42315 + ... + 42805.

Almost surely, 2^20896960 is an apocalyptic number.

20896960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29992320).

20896960 is an abundant number, since it is smaller than the sum of its proper divisors (39087680).

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

20896960 is a wasteful number, since it uses less digits than its factorization.

20896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 20896960 is about 4571.3192844079. The cubic root of 20896960 is about 275.4404402195.

The spelling of 20896960 in words is "twenty million, eight hundred ninety-six thousand, nine hundred sixty".