10759680 has 120 divisors (see below), whose sum is σ = 37343592. Its totient is φ = 2863104.

The previous prime is 10759669. The next prime is 10759687. The reversal of 10759680 is 8695701.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10759687) 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 11 ways as a sum of consecutive naturals, for example, 22807 + ... + 23273.

Almost surely, 2^10759680 is an apocalyptic number.

10759680 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 10759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18671796).

10759680 is an abundant number, since it is smaller than the sum of its proper divisors (26583912).

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

10759680 is an equidigital number, since it uses as much as digits as its factorization.

10759680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 10759680 is about 3280.1951161478. The cubic root of 10759680 is about 220.7664725400.

The spelling of 10759680 in words is "ten million, seven hundred fifty-nine thousand, six hundred eighty".