10120720 has 40 divisors (see below), whose sum is σ = 23866776. Its totient is φ = 3990528.

The previous prime is 10120709. The next prime is 10120723. The reversal of 10120720 is 2702101.

It can be written as a sum of positive squares in 4 ways, for example, as 1048576 + 9072144 = 1024^2 + 3012^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 10120720.

It is not an unprimeable number, because it can be changed into a prime (10120723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4974 + ... + 6706.

Almost surely, 2^10120720 is an apocalyptic number.

10120720 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 10120720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11933388).

10120720 is an abundant number, since it is smaller than the sum of its proper divisors (13746056).

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

10120720 is a wasteful number, since it uses less digits than its factorization.

10120720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 10120720 is about 3181.3079071351. The cubic root of 10120720 is about 216.3069481478.

Adding to 10120720 its reverse (2702101), we get a palindrome (12822821).

The spelling of 10120720 in words is "ten million, one hundred twenty thousand, seven hundred twenty".