20709000 has 256 divisors, whose sum is σ = 78624000. Its totient is φ = 5011200.

The previous prime is 20708971. The next prime is 20709041. The reversal of 20709000 is 90702.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a cake number, because a cake can be divided into 20709000 parts by 499 planar cuts.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 350971 + ... + 351029.

It is an arithmetic number, because the mean of its divisors is an integer number (307125).

Almost surely, 2^20709000 is an apocalyptic number.

20709000 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 20709000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312000).

20709000 is an abundant number, since it is smaller than the sum of its proper divisors (57915000).

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

20709000 is a wasteful number, since it uses less digits than its factorization.

20709000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 20709000 is about 4550.7142296567. The cubic root of 20709000 is about 274.6121253545.

Adding to 20709000 its reverse (90702), we get a palindrome (20799702).

The spelling of 20709000 in words is "twenty million, seven hundred nine thousand".