11605152 has 96 divisors (see below), whose sum is σ = 34800192. Its totient is φ = 3354624.

The previous prime is 11605151. The next prime is 11605157. The reversal of 11605152 is 25150611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11605151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20943 + ... + 21489.

It is an arithmetic number, because the mean of its divisors is an integer number (362502).

Almost surely, 2^11605152 is an apocalyptic number.

11605152 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 11605152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17400096).

11605152 is an abundant number, since it is smaller than the sum of its proper divisors (23195040).

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

11605152 is a wasteful number, since it uses less digits than its factorization.

11605152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 11605152 is about 3406.6335288669. The cubic root of 11605152 is about 226.4037474355.

Adding to 11605152 its reverse (25150611), we get a palindrome (36755763).

The spelling of 11605152 in words is "eleven million, six hundred five thousand, one hundred fifty-two".