10080864 has 144 divisors (see below), whose sum is σ = 31842720. Its totient is φ = 3010560.

The previous prime is 10080853. The next prime is 10080869. The reversal of 10080864 is 46808001.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10080869) 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, 141949 + ... + 142019.

It is an arithmetic number, because the mean of its divisors is an integer number (221130).

Almost surely, 2^10080864 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 10080864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15921360).

10080864 is an abundant number, since it is smaller than the sum of its proper divisors (21761856).

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

10080864 is a wasteful number, since it uses less digits than its factorization.

10080864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10080864 is about 3175.0376375722. The cubic root of 10080864 is about 216.0226313736.

Adding to 10080864 its reverse (46808001), we get a palindrome (56888865).

The spelling of 10080864 in words is "ten million, eighty thousand, eight hundred sixty-four".