11352960 has 192 divisors, whose sum is σ = 41212080. Its totient is φ = 2985984.

The previous prime is 11352959. The next prime is 11352967. The reversal of 11352960 is 6925311.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11352967) 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 23 ways as a sum of consecutive naturals, for example, 155484 + ... + 155556.

Almost surely, 2^11352960 is an apocalyptic number.

11352960 is a gapful number since it is divisible by the number (10) 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 11352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20606040).

11352960 is an abundant number, since it is smaller than the sum of its proper divisors (29859120).

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

11352960 is an frugal number, since it uses more digits than its factorization.

11352960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 11352960 is about 3369.4153795577. The cubic root of 11352960 is about 224.7517261456.

It can be divided in two parts, 1135 and 2960, that added together give a triangular number (4095 = T₉₀).

The spelling of 11352960 in words is "eleven million, three hundred fifty-two thousand, nine hundred sixty".