20653000 has 64 divisors (see below), whose sum is σ = 50918400. Its totient is φ = 7819200.

The previous prime is 20652967. The next prime is 20653001. The reversal of 20653000 is 35602.

It is not an unprimeable number, because it can be changed into a prime (20653001) 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, 18457 + ... + 19543.

It is an arithmetic number, because the mean of its divisors is an integer number (795600).

Almost surely, 2^20653000 is an apocalyptic number.

20653000 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 20653000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25459200).

20653000 is an abundant number, since it is smaller than the sum of its proper divisors (30265400).

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

20653000 is a wasteful number, since it uses less digits than its factorization.

20653000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 20653000 is about 4544.5571841490. The cubic root of 20653000 is about 274.3643721788.

Adding to 20653000 its reverse (35602), we get a palindrome (20688602).

The spelling of 20653000 in words is "twenty million, six hundred fifty-three thousand".