20777960 has 48 divisors (see below), whose sum is σ = 54388260. Its totient is φ = 7123200.

The previous prime is 20777957. The next prime is 20777969. The reversal of 20777960 is 6977702.

It can be written as a sum of positive squares in 2 ways, for example, as 20448484 + 329476 = 4522^2 + 574^2 .

It is not an unprimeable number, because it can be changed into a prime (20777969) 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 11 ways as a sum of consecutive naturals, for example, 3341 + ... + 7260.

Almost surely, 2^20777960 is an apocalyptic number.

20777960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20777960 is an abundant number, since it is smaller than the sum of its proper divisors (33610300).

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

20777960 is a wasteful number, since it uses less digits than its factorization.

20777960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10626 (or 10615 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 38.

The square root of 20777960 is about 4558.2847651282. The cubic root of 20777960 is about 274.9166028105.

The spelling of 20777960 in words is "twenty million, seven hundred seventy-seven thousand, nine hundred sixty".