10988880 has 160 divisors (see below), whose sum is σ = 40378368. Its totient is φ = 2419200.

The previous prime is 10988863. The next prime is 10988893. The reversal of 10988880 is 8888901.

It is a happy number.

10988880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51975 + ... + 52185.

Almost surely, 2^10988880 is an apocalyptic number.

10988880 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 10988880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20189184).

10988880 is an abundant number, since it is smaller than the sum of its proper divisors (29389488).

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

10988880 is a wasteful number, since it uses less digits than its factorization.

10988880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 42.

The square root of 10988880 is about 3314.9479633925. The cubic root of 10988880 is about 222.3230424000.

The spelling of 10988880 in words is "ten million, nine hundred eighty-eight thousand, eight hundred eighty".