20588480 has 56 divisors (see below), whose sum is σ = 53492400. Its totient is φ = 7485440.

The previous prime is 20588471. The next prime is 20588483. The reversal of 20588480 is 8488502.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20588480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20588483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 596 + ... + 6444.

Almost surely, 2^20588480 is an apocalyptic number.

20588480 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 20588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26746200).

20588480 is an abundant number, since it is smaller than the sum of its proper divisors (32903920).

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

20588480 is a wasteful number, since it uses less digits than its factorization.

20588480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5877 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 20588480 is about 4537.4530300599. The cubic root of 20588480 is about 274.0783692570.

The spelling of 20588480 in words is "twenty million, five hundred eighty-eight thousand, four hundred eighty".