11680480 has 48 divisors (see below), whose sum is σ = 31540320. Its totient is φ = 4004352.

The previous prime is 11680457. The next prime is 11680489. The reversal of 11680480 is 8408611.

It is a super-2 number, since 2×11680480² = 272867226060800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11680489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4095 + ... + 6334.

It is an arithmetic number, because the mean of its divisors is an integer number (657090).

Almost surely, 2^11680480 is an apocalyptic number.

11680480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11680480 is an abundant number, since it is smaller than the sum of its proper divisors (19859840).

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

11680480 is a wasteful number, since it uses less digits than its factorization.

11680480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10451 (or 10443 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 11680480 is about 3417.6717220939. The cubic root of 11680480 is about 226.8925468396.

The spelling of 11680480 in words is "eleven million, six hundred eighty thousand, four hundred eighty".