20796960 has 96 divisors (see below), whose sum is σ = 67338432. Its totient is φ = 5391360.

The previous prime is 20796959. The next prime is 20797013. The reversal of 20796960 is 6969702.

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

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, 17175 + ... + 18345.

It is an arithmetic number, because the mean of its divisors is an integer number (701442).

Almost surely, 2^20796960 is an apocalyptic number.

20796960 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 20796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33669216).

20796960 is an abundant number, since it is smaller than the sum of its proper divisors (46541472).

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

20796960 is a wasteful number, since it uses less digits than its factorization.

20796960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 20796960 is about 4560.3684061707. The cubic root of 20796960 is about 275.0003746551. Note that the first 3 decimals are identical.

The spelling of 20796960 in words is "twenty million, seven hundred ninety-six thousand, nine hundred sixty".