11676080 has 80 divisors (see below), whose sum is σ = 29789760. Its totient is φ = 4230144.

The previous prime is 11676079. The next prime is 11676097. The reversal of 11676080 is 8067611.

It is a tau number, because it is divible by the number of its divisors (80).

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, 107066 + ... + 107174.

It is an arithmetic number, because the mean of its divisors is an integer number (372372).

Almost surely, 2^11676080 is an apocalyptic number.

11676080 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 11676080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14894880).

11676080 is an abundant number, since it is smaller than the sum of its proper divisors (18113680).

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

11676080 is a wasteful number, since it uses less digits than its factorization.

11676080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 11676080 is about 3417.0279483785. The cubic root of 11676080 is about 226.8640533591.

The spelling of 11676080 in words is "eleven million, six hundred seventy-six thousand, eighty".