20107008 has 72 divisors (see below), whose sum is σ = 59480400. Its totient is φ = 6700032.

The previous prime is 20107007. The next prime is 20107019. The reversal of 20107008 is 80070102.

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20107007) 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, 5458 + ... + 8366.

Almost surely, 2^20107008 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 20107008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29740200).

20107008 is an abundant number, since it is smaller than the sum of its proper divisors (39373392).

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

20107008 is an equidigital number, since it uses as much as digits as its factorization.

20107008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 20107008 is about 4484.0838529180. The cubic root of 20107008 is about 271.9250081613.

The spelling of 20107008 in words is "twenty million, one hundred seven thousand, eight".