10711680 has 128 divisors (see below), whose sum is σ = 39070080. Its totient is φ = 2445312.

The previous prime is 10711669. The next prime is 10711681. The reversal of 10711680 is 8611701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10711680² = 229480176844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10711680.

It is not an unprimeable number, because it can be changed into a prime (10711681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13042 + ... + 13838.

It is an arithmetic number, because the mean of its divisors is an integer number (305235).

Almost surely, 2^10711680 is an apocalyptic number.

10711680 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 10711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19535040).

10711680 is an abundant number, since it is smaller than the sum of its proper divisors (28358400).

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

10711680 is an equidigital number, since it uses as much as digits as its factorization.

10711680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 10711680 is about 3272.8702999050. The cubic root of 10711680 is about 220.4376961071.

The spelling of 10711680 in words is "ten million, seven hundred eleven thousand, six hundred eighty".