20705900 has 36 divisors (see below), whose sum is σ = 45517920. Its totient is φ = 8174400.

The previous prime is 20705899. The next prime is 20705917. The reversal of 20705900 is 950702.

20705900 = T₂₅ + T₂₆ + ... + T₄₉₈.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6590 + ... + 9210.

Almost surely, 2^20705900 is an apocalyptic number.

20705900 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 20705900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22758960).

20705900 is an abundant number, since it is smaller than the sum of its proper divisors (24812020).

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

20705900 is a wasteful number, since it uses less digits than its factorization.

20705900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 20705900 is about 4550.3736110346. The cubic root of 20705900 is about 274.5984221325.

The spelling of 20705900 in words is "twenty million, seven hundred five thousand, nine hundred".