11581152 has 72 divisors (see below), whose sum is σ = 33448968. Its totient is φ = 3505920.

The previous prime is 11581123. The next prime is 11581153. The reversal of 11581152 is 25118511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11581153) 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 11 ways as a sum of consecutive naturals, for example, 11118 + ... + 12114.

It is an arithmetic number, because the mean of its divisors is an integer number (464569).

Almost surely, 2^11581152 is an apocalyptic number.

11581152 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 11581152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16724484).

11581152 is an abundant number, since it is smaller than the sum of its proper divisors (21867816).

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

11581152 is a wasteful number, since it uses less digits than its factorization.

11581152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1013 counting only the distinct ones).

The product of its digits is 400, while the sum is 24.

The square root of 11581152 is about 3403.1091666298. The cubic root of 11581152 is about 226.2475685259.

Adding to 11581152 its reverse (25118511), we get a palindrome (36699663).

The spelling of 11581152 in words is "eleven million, five hundred eighty-one thousand, one hundred fifty-two".