10006080 has 112 divisors (see below), whose sum is σ = 36332160. Its totient is φ = 2285568.

The previous prime is 10006067. The next prime is 10006097. The reversal of 10006080 is 8060001.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5976 + ... + 7464.

Almost surely, 2^10006080 is an apocalyptic number.

10006080 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 10006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18166080).

10006080 is an abundant number, since it is smaller than the sum of its proper divisors (26326080).

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

10006080 is a wasteful number, since it uses less digits than its factorization.

10006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10006080 is about 3163.2388464989. The cubic root of 10006080 is about 215.4871233668.

Adding to 10006080 its reverse (8060001), we get a palindrome (18066081).

The spelling of 10006080 in words is "ten million, six thousand, eighty".