20949120 has 96 divisors (see below), whose sum is σ = 72359820. Its totient is φ = 5584896.

The previous prime is 20949109. The next prime is 20949157. The reversal of 20949120 is 2194902.

It can be written as a sum of positive squares in 2 ways, for example, as 18045504 + 2903616 = 4248^2 + 1704^2 .

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 11 ways as a sum of consecutive naturals, for example, 3942 + ... + 7578.

Almost surely, 2^20949120 is an apocalyptic number.

20949120 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 20949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36179910).

20949120 is an abundant number, since it is smaller than the sum of its proper divisors (51410700).

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

20949120 is a wasteful number, since it uses less digits than its factorization.

20949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 20949120 is about 4577.0208651480. The cubic root of 20949120 is about 275.6694214735.

The spelling of 20949120 in words is "twenty million, nine hundred forty-nine thousand, one hundred twenty".