20968116 has 48 divisors (see below), whose sum is σ = 52995264. Its totient is φ = 6414336.

The previous prime is 20968109. The next prime is 20968117. The reversal of 20968116 is 61186902.

It is a hoax number, since the sum of its digits (33) 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 (20968117) 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, 39831 + ... + 40353.

It is an arithmetic number, because the mean of its divisors is an integer number (1104068).

Almost surely, 2^20968116 is an apocalyptic number.

20968116 is a gapful number since it is divisible by the number (26) 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 20968116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26497632).

20968116 is an abundant number, since it is smaller than the sum of its proper divisors (32027148).

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

20968116 is a wasteful number, since it uses less digits than its factorization.

20968116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 20968116 is about 4579.0955438820. The cubic root of 20968116 is about 275.7527190747.

It can be divided in two parts, 20 and 968116, that added together give a triangular number (968136 = T₁₃₉₁).

The spelling of 20968116 in words is "twenty million, nine hundred sixty-eight thousand, one hundred sixteen".