11352576 has 80 divisors (see below), whose sum is σ = 31917600. Its totient is φ = 3575808.

The previous prime is 11352571. The next prime is 11352581. The reversal of 11352576 is 67525311.

It is an interprime number because it is at equal distance from previous prime (11352571) and next prime (11352581).

It is not an unprimeable number, because it can be changed into a prime (11352571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28990 + ... + 29378.

It is an arithmetic number, because the mean of its divisors is an integer number (398970).

Almost surely, 2^11352576 is an apocalyptic number.

11352576 is a gapful number since it is divisible by the number (16) 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 11352576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15958800).

11352576 is an abundant number, since it is smaller than the sum of its proper divisors (20565024).

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

11352576 is an equidigital number, since it uses as much as digits as its factorization.

11352576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 413 counting only the distinct ones).

The product of its digits is 6300, while the sum is 30.

The square root of 11352576 is about 3369.3583958968. The cubic root of 11352576 is about 224.7491921329.

Adding to 11352576 its reverse (67525311), we get a palindrome (78877887).

The spelling of 11352576 in words is "eleven million, three hundred fifty-two thousand, five hundred seventy-six".