10986880 has 32 divisors (see below), whose sum is σ = 26267040. Its totient is φ = 4394496.

The previous prime is 10986851. The next prime is 10986889. The reversal of 10986880 is 8868901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10986889) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7944 + ... + 9223.

It is an arithmetic number, because the mean of its divisors is an integer number (820845).

Almost surely, 2^10986880 is an apocalyptic number.

10986880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10986880 is an abundant number, since it is smaller than the sum of its proper divisors (15280160).

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

10986880 is an equidigital number, since it uses as much as digits as its factorization.

10986880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17186 (or 17174 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The square root of 10986880 is about 3314.6462858049. The cubic root of 10986880 is about 222.3095538230.

The spelling of 10986880 in words is "ten million, nine hundred eighty-six thousand, eight hundred eighty".