20768000 has 144 divisors (see below), whose sum is σ = 57395520. Its totient is φ = 7424000.

The previous prime is 20767963. The next prime is 20768009. The reversal of 20768000 is 86702.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20768009) 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, 351971 + ... + 352029.

It is an arithmetic number, because the mean of its divisors is an integer number (398580).

Almost surely, 2^20768000 is an apocalyptic number.

20768000 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 20768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28697760).

20768000 is an abundant number, since it is smaller than the sum of its proper divisors (36627520).

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

20768000 is an equidigital number, since it uses as much as digits as its factorization.

20768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 20768000 is about 4557.1921179604. The cubic root of 20768000 is about 274.8726683242.

The spelling of 20768000 in words is "twenty million, seven hundred sixty-eight thousand".