11480832 has 144 divisors (see below), whose sum is σ = 37282560. Its totient is φ = 3456000.

The previous prime is 11480827. The next prime is 11480849. The reversal of 11480832 is 23808411.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11480796 and 11480805.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 75957 + ... + 76107.

Almost surely, 2^11480832 is an apocalyptic number.

11480832 is a gapful number since it is divisible by the number (12) 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 11480832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18641280).

11480832 is an abundant number, since it is smaller than the sum of its proper divisors (25801728).

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

11480832 is a wasteful number, since it uses less digits than its factorization.

11480832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 11480832 is about 3388.3376455129. The cubic root of 11480832 is about 225.5923944924.

The spelling of 11480832 in words is "eleven million, four hundred eighty thousand, eight hundred thirty-two".