10811880 has 160 divisors (see below), whose sum is σ = 37635840. Its totient is φ = 2782080.

The previous prime is 10811831. The next prime is 10811897. The reversal of 10811880 is 8811801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152245 + ... + 152315.

It is an arithmetic number, because the mean of its divisors is an integer number (235224).

Almost surely, 2^10811880 is an apocalyptic number.

10811880 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 10811880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18817920).

10811880 is an abundant number, since it is smaller than the sum of its proper divisors (26823960).

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

10811880 is a wasteful number, since it uses less digits than its factorization.

10811880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

The square root of 10811880 is about 3288.1423326857. The cubic root of 10811880 is about 221.1229089117.

The spelling of 10811880 in words is "ten million, eight hundred eleven thousand, eight hundred eighty".