20067768 has 96 divisors (see below), whose sum is σ = 64303200. Its totient is φ = 5531904.

The previous prime is 20067763. The next prime is 20067779. The reversal of 20067768 is 86776002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20067763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13930 + ... + 15302.

It is an arithmetic number, because the mean of its divisors is an integer number (669825).

Almost surely, 2^20067768 is an apocalyptic number.

20067768 is a gapful number since it is divisible by the number (28) 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 20067768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32151600).

20067768 is an abundant number, since it is smaller than the sum of its proper divisors (44235432).

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

20067768 is a wasteful number, since it uses less digits than its factorization.

20067768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 20067768 is about 4479.7062403689. The cubic root of 20067768 is about 271.7480004547.

The spelling of 20067768 in words is "twenty million, sixty-seven thousand, seven hundred sixty-eight".