8628880 has 40 divisors (see below), whose sum is σ = 21607992. Its totient is φ = 3185664.

The previous prime is 8628859. The next prime is 8628883. The reversal of 8628880 is 888268.

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 6822544 = 1344^2 + 2612^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (8628883) 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, 3109 + ... + 5188.

Almost surely, 2^8628880 is an apocalyptic number.

8628880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8628880 is an abundant number, since it is smaller than the sum of its proper divisors (12979112).

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

8628880 is a wasteful number, since it uses less digits than its factorization.

8628880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8323 (or 8317 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 8628880 is about 2937.4955319115. The cubic root of 8628880 is about 205.1090437123.

It can be divided in two parts, 86288 and 80, that added together give a palindrome (86368).

The spelling of 8628880 in words is "eight million, six hundred twenty-eight thousand, eight hundred eighty".