20635968 has 56 divisors (see below), whose sum is σ = 56985408. Its totient is φ = 6578176.

The previous prime is 20635949. The next prime is 20635969. The reversal of 20635968 is 86953602.

It is a super-3 number, since 3×20635968³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20635969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2080 + ... + 6752.

Almost surely, 2^20635968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20635968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28492704).

20635968 is an abundant number, since it is smaller than the sum of its proper divisors (36349440).

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

20635968 is a wasteful number, since it uses less digits than its factorization.

20635968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4711 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 20635968 is about 4542.6829077099. The cubic root of 20635968 is about 274.2889310139.

The spelling of 20635968 in words is "twenty million, six hundred thirty-five thousand, nine hundred sixty-eight".