20775360 has 224 divisors, whose sum is σ = 74615040. Its totient is φ = 4866048.

The previous prime is 20775331. The next prime is 20775383. The reversal of 20775360 is 6357702.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310047 + ... + 310113.

Almost surely, 2^20775360 is an apocalyptic number.

20775360 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 20775360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37307520).

20775360 is an abundant number, since it is smaller than the sum of its proper divisors (53839680).

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

20775360 is a wasteful number, since it uses less digits than its factorization.

20775360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 20775360 is about 4557.9995612110. Note that the first 3 decimals coincide. The cubic root of 20775360 is about 274.9051353231.

The spelling of 20775360 in words is "twenty million, seven hundred seventy-five thousand, three hundred sixty".