20944960 has 112 divisors (see below), whose sum is σ = 53858160. Its totient is φ = 7741440.

The previous prime is 20944951. The next prime is 20944981. The reversal of 20944960 is 6944902.

It can be written as a sum of positive squares in 8 ways, for example, as 369664 + 20575296 = 608^2 + 4536^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343330 + ... + 343390.

Almost surely, 2^20944960 is an apocalyptic number.

20944960 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 20944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26929080).

20944960 is an abundant number, since it is smaller than the sum of its proper divisors (32913200).

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

20944960 is a wasteful number, since it uses less digits than its factorization.

20944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 20944960 is about 4576.5663985132. The cubic root of 20944960 is about 275.6511731221.

It can be divided in two parts, 20944 and 960, that added together give a square (21904 = 148²).

The spelling of 20944960 in words is "twenty million, nine hundred forty-four thousand, nine hundred sixty".