11683488 has 48 divisors (see below), whose sum is σ = 32477760. Its totient is φ = 3664896.

The previous prime is 11683459. The next prime is 11683493. The reversal of 11683488 is 88438611.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×11683488² = 273007783692288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1948 + ... + 5211.

It is an arithmetic number, because the mean of its divisors is an integer number (676620).

Almost surely, 2^11683488 is an apocalyptic number.

It is an amenable number.

11683488 is an abundant number, since it is smaller than the sum of its proper divisors (20794272).

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

11683488 is a wasteful number, since it uses less digits than its factorization.

11683488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7189 (or 7181 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 11683488 is about 3418.1117594368. Note that the first 3 decimals coincide. The cubic root of 11683488 is about 226.9120219012.

It can be divided in two parts, 1168 and 3488, that added together give a triangular number (4656 = T₉₆).

The spelling of 11683488 in words is "eleven million, six hundred eighty-three thousand, four hundred eighty-eight".