20735968 has 24 divisors (see below), whose sum is σ = 44535960. Its totient is φ = 9425280.

The previous prime is 20735927. The next prime is 20735969. The reversal of 20735968 is 86953702.

It is a self number, because there is not a number n which added to its sum of digits gives 20735968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20735969) 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 3 ways as a sum of consecutive naturals, for example, 29103 + ... + 29806.

It is an arithmetic number, because the mean of its divisors is an integer number (1855665).

Almost surely, 2^20735968 is an apocalyptic number.

It is an amenable number.

20735968 is an abundant number, since it is smaller than the sum of its proper divisors (23799992).

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

20735968 is a wasteful number, since it uses less digits than its factorization.

20735968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58930 (or 58922 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 20735968 is about 4553.6763169993. The cubic root of 20735968 is about 274.7312768900.

The spelling of 20735968 in words is "twenty million, seven hundred thirty-five thousand, nine hundred sixty-eight".