20623968 has 72 divisors (see below), whose sum is σ = 61752600. Its totient is φ = 6511104.

The previous prime is 20623957. The next prime is 20623973. The reversal of 20623968 is 86932602.

20623968 is a `hidden beast` number, since 20 + 623 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 3588 + ... + 7356.

It is an arithmetic number, because the mean of its divisors is an integer number (857675).

Almost surely, 2^20623968 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 20623968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30876300).

20623968 is an abundant number, since it is smaller than the sum of its proper divisors (41128632).

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

20623968 is a wasteful number, since it uses less digits than its factorization.

20623968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 20623968 is about 4541.3619102644. The cubic root of 20623968 is about 274.2357535491.

The spelling of 20623968 in words is "twenty million, six hundred twenty-three thousand, nine hundred sixty-eight".