20649168 has 120 divisors (see below), whose sum is σ = 61746048. Its totient is φ = 6676992.

The previous prime is 20649113. The next prime is 20649173. The reversal of 20649168 is 86194602.

20649168 is a `hidden beast` number, since 2 + 0 + 649 + 1 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182680 + ... + 182792.

Almost surely, 2^20649168 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 20649168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30873024).

20649168 is an abundant number, since it is smaller than the sum of its proper divisors (41096880).

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

20649168 is a wasteful number, since it uses less digits than its factorization.

20649168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 20649168 is about 4544.1355613582. The cubic root of 20649168 is about 274.3474024197.

The spelling of 20649168 in words is "twenty million, six hundred forty-nine thousand, one hundred sixty-eight".