20580040 has 64 divisors (see below), whose sum is σ = 52516800. Its totient is φ = 7195392.

The previous prime is 20580037. The next prime is 20580041. The reversal of 20580040 is 4008502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20580041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8839 + ... + 10921.

It is an arithmetic number, because the mean of its divisors is an integer number (820575).

Almost surely, 2^20580040 is an apocalyptic number.

20580040 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 20580040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26258400).

20580040 is an abundant number, since it is smaller than the sum of its proper divisors (31936760).

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

20580040 is a wasteful number, since it uses less digits than its factorization.

20580040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 20580040 is about 4536.5228975505. The cubic root of 20580040 is about 274.0409124267.

Adding to 20580040 its reverse (4008502), we get a palindrome (24588542).

The spelling of 20580040 in words is "twenty million, five hundred eighty thousand, forty".