20758480 has 40 divisors (see below), whose sum is σ = 49574952. Its totient is φ = 8077824.

The previous prime is 20758471. The next prime is 20758511. The reversal of 20758480 is 8485702.

It can be written as a sum of positive squares in 4 ways, for example, as 9388096 + 11370384 = 3064^2 + 3372^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 547 + ... + 6466.

Almost surely, 2^20758480 is an apocalyptic number.

20758480 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 20758480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24787476).

20758480 is an abundant number, since it is smaller than the sum of its proper divisors (28816472).

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

20758480 is a wasteful number, since it uses less digits than its factorization.

20758480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7063 (or 7057 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 20758480 is about 4556.1474954176. The cubic root of 20758480 is about 274.8306615871.

The spelling of 20758480 in words is "twenty million, seven hundred fifty-eight thousand, four hundred eighty".