10008720 has 60 divisors (see below), whose sum is σ = 33615036. Its totient is φ = 2668800.

The previous prime is 10008667. The next prime is 10008727. The reversal of 10008720 is 2780001.

It can be written as a sum of positive squares in 2 ways, for example, as 5992704 + 4016016 = 2448^2 + 2004^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 10008693 and 10008702.

It is not an unprimeable number, because it can be changed into a prime (10008727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6231 + ... + 7670.

Almost surely, 2^10008720 is an apocalyptic number.

10008720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10008720 is an abundant number, since it is smaller than the sum of its proper divisors (23606316).

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

10008720 is a wasteful number, since it uses less digits than its factorization.

10008720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13920 (or 13911 counting only the distinct ones).

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

The square root of 10008720 is about 3163.6561127910. The cubic root of 10008720 is about 215.5060730448.

Adding to 10008720 its reverse (2780001), we get a palindrome (12788721).

The spelling of 10008720 in words is "ten million, eight thousand, seven hundred twenty".