11146080 has 96 divisors (see below), whose sum is σ = 38320128. Its totient is φ = 2700800.

The previous prime is 11146061. The next prime is 11146111. The reversal of 11146080 is 8064111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4225 + ... + 6335.

It is an arithmetic number, because the mean of its divisors is an integer number (399168).

Almost surely, 2^11146080 is an apocalyptic number.

11146080 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 11146080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19160064).

11146080 is an abundant number, since it is smaller than the sum of its proper divisors (27174048).

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

11146080 is a wasteful number, since it uses less digits than its factorization.

11146080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 11146080 is about 3338.5745461199. The cubic root of 11146080 is about 223.3781648076.

The spelling of 11146080 in words is "eleven million, one hundred forty-six thousand, eighty".