11319552 has 108 divisors (see below), whose sum is σ = 34676460. Its totient is φ = 3551232.

The previous prime is 11319551. The next prime is 11319571. The reversal of 11319552 is 25591311.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 6230016 + 5089536 = 2496^2 + 2256^2 .

It is not an unprimeable number, because it can be changed into a prime (11319551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 665848 + ... + 665864.

Almost surely, 2^11319552 is an apocalyptic number.

11319552 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 11319552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17338230).

11319552 is an abundant number, since it is smaller than the sum of its proper divisors (23356908).

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

11319552 is an frugal number, since it uses more digits than its factorization.

11319552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 22 counting only the distinct ones).

The product of its digits is 1350, while the sum is 27.

The square root of 11319552 is about 3364.4541905040. The cubic root of 11319552 is about 224.5310529248.

The spelling of 11319552 in words is "eleven million, three hundred nineteen thousand, five hundred fifty-two".