20488600 has 96 divisors (see below), whose sum is σ = 53121600. Its totient is φ = 7286400.

The previous prime is 20488583. The next prime is 20488603. The reversal of 20488600 is 688402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20488603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147331 + ... + 147469.

It is an arithmetic number, because the mean of its divisors is an integer number (553350).

Almost surely, 2^20488600 is an apocalyptic number.

20488600 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 20488600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26560800).

20488600 is an abundant number, since it is smaller than the sum of its proper divisors (32633000).

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

20488600 is a wasteful number, since it uses less digits than its factorization.

20488600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 20488600 is about 4526.4334746023. The cubic root of 20488600 is about 273.6344424453.

It can be divided in two parts, 2048 and 8600, that added together give a cube (10648 = 22³).

The spelling of 20488600 in words is "twenty million, four hundred eighty-eight thousand, six hundred".