20759040 has 240 divisors, whose sum is σ = 77559768. Its totient is φ = 5111808.

The previous prime is 20759029. The next prime is 20759069. The reversal of 20759040 is 4095702.

It can be written as a sum of positive squares in 4 ways, for example, as 19927296 + 831744 = 4464^2 + 912^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 20758995 and 20759013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391654 + ... + 391706.

Almost surely, 2^20759040 is an apocalyptic number.

20759040 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 20759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38779884).

20759040 is an abundant number, since it is smaller than the sum of its proper divisors (56800728).

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

20759040 is a wasteful number, since it uses less digits than its factorization.

20759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 20759040 is about 4556.2089504324. The cubic root of 20759040 is about 274.8331329271.

The spelling of 20759040 in words is "twenty million, seven hundred fifty-nine thousand, forty".