8628840 has 96 divisors (see below), whose sum is σ = 30607200. Its totient is φ = 2090880.

The previous prime is 8628811. The next prime is 8628847. The reversal of 8628840 is 488268.

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

It is a junction number, because it is equal to n+sod(n) for n = 8628795 and 8628804.

It is not an unprimeable number, because it can be changed into a prime (8628847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2871 + ... + 5049.

It is an arithmetic number, because the mean of its divisors is an integer number (318825).

Almost surely, 2^8628840 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 8628840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15303600).

8628840 is an abundant number, since it is smaller than the sum of its proper divisors (21978360).

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

8628840 is a wasteful number, since it uses less digits than its factorization.

8628840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8628840 is about 2937.4887233826. The cubic root of 8628840 is about 205.1087267776.

The spelling of 8628840 in words is "eight million, six hundred twenty-eight thousand, eight hundred forty".