20768940 has 48 divisors (see below), whose sum is σ = 64616160. Its totient is φ = 5538240.

The previous prime is 20768927. The next prime is 20768947. The reversal of 20768940 is 4986702.

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

It is a junction number, because it is equal to n+sod(n) for n = 20768895 and 20768904.

It is not an unprimeable number, because it can be changed into a prime (20768947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18691 + ... + 19770.

It is an arithmetic number, because the mean of its divisors is an integer number (1346170).

Almost surely, 2^20768940 is an apocalyptic number.

20768940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20768940 is an abundant number, since it is smaller than the sum of its proper divisors (43847220).

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

20768940 is a wasteful number, since it uses less digits than its factorization.

20768940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38479 (or 38471 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20768940 is about 4557.2952504748. The cubic root of 20768940 is about 274.8768153518.

The spelling of 20768940 in words is "twenty million, seven hundred sixty-eight thousand, nine hundred forty".