11306880 has 192 divisors, whose sum is σ = 42325920. Its totient is φ = 2764800.

The previous prime is 11306879. The next prime is 11306891. The reversal of 11306880 is 8860311.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74805 + ... + 74955.

Almost surely, 2^11306880 is an apocalyptic number.

11306880 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 11306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21162960).

11306880 is an abundant number, since it is smaller than the sum of its proper divisors (31019040).

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

11306880 is a wasteful number, since it uses less digits than its factorization.

11306880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11306880 is about 3362.5704453587. The cubic root of 11306880 is about 224.4472357120.

The spelling of 11306880 in words is "eleven million, three hundred six thousand, eight hundred eighty".