20896000 has 72 divisors (see below), whose sum is σ = 52134264. Its totient is φ = 8345600.

The previous prime is 20895929. The next prime is 20896013. The reversal of 20896000 is 69802.

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 18386944 = 1584^2 + 4288^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31674 + ... + 32326.

It is an arithmetic number, because the mean of its divisors is an integer number (724087).

Almost surely, 2^20896000 is an apocalyptic number.

20896000 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 20896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26067132).

20896000 is an abundant number, since it is smaller than the sum of its proper divisors (31238264).

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

20896000 is an frugal number, since it uses more digits than its factorization.

20896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 20896000 is about 4571.2142806917. The cubic root of 20896000 is about 275.4362222715.

The spelling of 20896000 in words is "twenty million, eight hundred ninety-six thousand".