10758720 has 112 divisors (see below), whose sum is σ = 39063168. Its totient is φ = 2457600.

The previous prime is 10758719. The next prime is 10758721. The reversal of 10758720 is 2785701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10758719) and next prime (10758721).

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 (30).

It is not an unprimeable number, because it can be changed into a prime (10758721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5920 + ... + 7520.

Almost surely, 2^10758720 is an apocalyptic number.

10758720 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 10758720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19531584).

10758720 is an abundant number, since it is smaller than the sum of its proper divisors (28304448).

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

10758720 is a wasteful number, since it uses less digits than its factorization.

10758720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 10758720 is about 3280.0487801251. The cubic root of 10758720 is about 220.7599066038.

The spelling of 10758720 in words is "ten million, seven hundred fifty-eight thousand, seven hundred twenty".