10009088 has 40 divisors (see below), whose sum is σ = 20292228. Its totient is φ = 4931584.

The previous prime is 10009079. The next prime is 10009091. The reversal of 10009088 is 88090001.

It can be written as a sum of positive squares in 2 ways, for example, as 9935104 + 73984 = 3152^2 + 272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57770 + ... + 57942.

Almost surely, 2^10009088 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 10009088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10146114).

10009088 is an abundant number, since it is smaller than the sum of its proper divisors (10283140).

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

10009088 is an equidigital number, since it uses as much as digits as its factorization.

10009088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 10009088 is about 3163.7142728129. The cubic root of 10009088 is about 215.5087142504.

Adding to 10009088 its reverse (88090001), we get a palindrome (98099089).

The spelling of 10009088 in words is "ten million, nine thousand, eighty-eight".