11676480 has 56 divisors (see below), whose sum is σ = 37075872. Its totient is φ = 3113472.

The previous prime is 11676463. The next prime is 11676487. The reversal of 11676480 is 8467611.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11676487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5122 + ... + 7041.

Almost surely, 2^11676480 is an apocalyptic number.

11676480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11676480 is an abundant number, since it is smaller than the sum of its proper divisors (25399392).

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

11676480 is a wasteful number, since it uses less digits than its factorization.

11676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12183 (or 12173 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 11676480 is about 3417.0864782736. The cubic root of 11676480 is about 226.8666439712.

The spelling of 11676480 in words is "eleven million, six hundred seventy-six thousand, four hundred eighty".