11976480 has 72 divisors (see below), whose sum is σ = 40874652. Its totient is φ = 3193344.

The previous prime is 11976473. The next prime is 11976511. The reversal of 11976480 is 8467911.

11976480 is a `hidden beast` number, since 1 + 1 + 9 + 7 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11209104 + 767376 = 3348^2 + 876^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2719 + ... + 5598.

Almost surely, 2^11976480 is an apocalyptic number.

11976480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11976480 is an abundant number, since it is smaller than the sum of its proper divisors (28898172).

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

11976480 is a wasteful number, since it uses less digits than its factorization.

11976480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8338 (or 8327 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11976480 is about 3460.7051304611. The cubic root of 11976480 is about 228.7931746868.

The spelling of 11976480 in words is "eleven million, nine hundred seventy-six thousand, four hundred eighty".