20783360 has 72 divisors (see below), whose sum is σ = 53655000. Its totient is φ = 7667712.

The previous prime is 20783339. The next prime is 20783363. The reversal of 20783360 is 6338702.

It can be written as a sum of positive squares in 4 ways, for example, as 135424 + 20647936 = 368^2 + 4544^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20783363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16016 + ... + 17264.

Almost surely, 2^20783360 is an apocalyptic number.

20783360 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 20783360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26827500).

20783360 is an abundant number, since it is smaller than the sum of its proper divisors (32871640).

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

20783360 is a wasteful number, since it uses less digits than its factorization.

20783360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 20783360 is about 4558.8770547142. The cubic root of 20783360 is about 274.9404168434.

The spelling of 20783360 in words is "twenty million, seven hundred eighty-three thousand, three hundred sixty".