10008880 has 80 divisors (see below), whose sum is σ = 27123264. Its totient is φ = 3363840.

The previous prime is 10008853. The next prime is 10008881. The reversal of 10008880 is 8880001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10008881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34014 + ... + 34306.

Almost surely, 2^10008880 is an apocalyptic number.

10008880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10008880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561632).

10008880 is an abundant number, since it is smaller than the sum of its proper divisors (17114384).

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

10008880 is a wasteful number, since it uses less digits than its factorization.

10008880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 10008880 is about 3163.6813998884. The cubic root of 10008880 is about 215.5072214030.

Adding to 10008880 its reverse (8880001), we get a palindrome (18888881).

The spelling of 10008880 in words is "ten million, eight thousand, eight hundred eighty".