10811680 has 48 divisors (see below), whose sum is σ = 27869184. Its totient is φ = 3930880.

The previous prime is 10811657. The next prime is 10811683. The reversal of 10811680 is 8611801.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10811683) 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, 1312 + ... + 4831.

It is an arithmetic number, because the mean of its divisors is an integer number (580608).

Almost surely, 2^10811680 is an apocalyptic number.

10811680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10811680 is an abundant number, since it is smaller than the sum of its proper divisors (17057504).

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

10811680 is a wasteful number, since it uses less digits than its factorization.

10811680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6169 (or 6161 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 25.

The square root of 10811680 is about 3288.1119202363. Note that the first 3 decimals coincide. The cubic root of 10811680 is about 221.1215454469.

The spelling of 10811680 in words is "ten million, eight hundred eleven thousand, six hundred eighty".