10080720 has 160 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 2474496.

The previous prime is 10080691. The next prime is 10080727. The reversal of 10080720 is 2708001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10080693 and 10080702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10080727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27901 + ... + 28259.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 2^10080720 is an apocalyptic number.

10080720 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 10080720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

10080720 is an abundant number, since it is smaller than the sum of its proper divisors (27416880).

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

10080720 is a wasteful number, since it uses less digits than its factorization.

10080720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10080720 is about 3175.0149605947. The cubic root of 10080720 is about 216.0216027776.

Adding to 10080720 its reverse (2708001), we get a palindrome (12788721).

The spelling of 10080720 in words is "ten million, eighty thousand, seven hundred twenty".