20724000 has 192 divisors, whose sum is σ = 74535552. Its totient is φ = 4992000.

The previous prime is 20723999. The next prime is 20724001. The reversal of 20724000 is 42702.

It is an interprime number because it is at equal distance from previous prime (20723999) and next prime (20724001).

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

It is not an unprimeable number, because it can be changed into a prime (20724001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131922 + ... + 132078.

It is an arithmetic number, because the mean of its divisors is an integer number (388206).

Almost surely, 2^20724000 is an apocalyptic number.

20724000 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 20724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37267776).

20724000 is an abundant number, since it is smaller than the sum of its proper divisors (53811552).

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

20724000 is a wasteful number, since it uses less digits than its factorization.

20724000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 20724000 is about 4552.3620242683. The cubic root of 20724000 is about 274.6784119568.

Adding to 20724000 its reverse (42702), we get a palindrome (20766702).

The spelling of 20724000 in words is "twenty million, seven hundred twenty-four thousand".