20430600 has 96 divisors (see below), whose sum is σ = 67093920. Its totient is φ = 5125120.

The previous prime is 20430589. The next prime is 20430607. The reversal of 20430600 is 603402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20430600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20430607) 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, 9199 + ... + 11201.

It is an arithmetic number, because the mean of its divisors is an integer number (698895).

Almost surely, 2^20430600 is an apocalyptic number.

20430600 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 20430600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33546960).

20430600 is an abundant number, since it is smaller than the sum of its proper divisors (46663320).

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

20430600 is a wasteful number, since it uses less digits than its factorization.

20430600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 20430600 is about 4520.0221238397. The cubic root of 20430600 is about 273.3759930773.

The spelling of 20430600 in words is "twenty million, four hundred thirty thousand, six hundred".