8638020 has 72 divisors (see below), whose sum is σ = 26930904. Its totient is φ = 2239488.

The previous prime is 8637991. The next prime is 8638033. The reversal of 8638020 is 208368.

8638020 is a `hidden beast` number, since 8 + 638 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5419584 + 3218436 = 2328^2 + 1794^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6012 + ... + 7308.

Almost surely, 2^8638020 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 8638020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13465452).

8638020 is an abundant number, since it is smaller than the sum of its proper divisors (18292884).

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

8638020 is a wasteful number, since it uses less digits than its factorization.

8638020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8638020 is about 2939.0508672019. The cubic root of 8638020 is about 205.1814376242.

The spelling of 8638020 in words is "eight million, six hundred thirty-eight thousand, twenty".