11676960 has 240 divisors, whose sum is σ = 44457336. Its totient is φ = 2875392.

The previous prime is 11676919. The next prime is 11676967. The reversal of 11676960 is 6967611.

It can be written as a sum of positive squares in 4 ways, for example, as 11209104 + 467856 = 3348^2 + 684^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11676967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220294 + ... + 220346.

Almost surely, 2^11676960 is an apocalyptic number.

11676960 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 11676960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22228668).

11676960 is an abundant number, since it is smaller than the sum of its proper divisors (32780376).

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

11676960 is a wasteful number, since it uses less digits than its factorization.

11676960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 11676960 is about 3417.1567128243. The cubic root of 11676960 is about 226.8697526278.

The spelling of 11676960 in words is "eleven million, six hundred seventy-six thousand, nine hundred sixty".