20983008 has 48 divisors (see below), whose sum is σ = 56987280. Its totient is φ = 6752256.

The previous prime is 20983007. The next prime is 20983031. The reversal of 20983008 is 80038902.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20983007) 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, 985 + ... + 6552.

It is an arithmetic number, because the mean of its divisors is an integer number (1187235).

Almost surely, 2^20983008 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 20983008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28493640).

20983008 is an abundant number, since it is smaller than the sum of its proper divisors (36004272).

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

20983008 is a wasteful number, since it uses less digits than its factorization.

20983008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7579 (or 7571 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 20983008 is about 4580.7213405751. The cubic root of 20983008 is about 275.8179854327.

The spelling of 20983008 in words is "twenty million, nine hundred eighty-three thousand, eight".