11652160 has 56 divisors (see below), whose sum is σ = 29891736. Its totient is φ = 4300800.

The previous prime is 11652143. The next prime is 11652161. The reversal of 11652160 is 6125611.

It can be written as a sum of positive squares in 4 ways, for example, as 200704 + 11451456 = 448^2 + 3384^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11652161) 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, 2760 + ... + 5560.

It is an arithmetic number, because the mean of its divisors is an integer number (533781).

Almost surely, 2^11652160 is an apocalyptic number.

11652160 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 11652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14945868).

11652160 is an abundant number, since it is smaller than the sum of its proper divisors (18239576).

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

11652160 is a wasteful number, since it uses less digits than its factorization.

11652160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 11652160 is about 3413.5260362271. The cubic root of 11652160 is about 226.7090270696.

Adding to 11652160 its reverse (6125611), we get a palindrome (17777771).

The spelling of 11652160 in words is "eleven million, six hundred fifty-two thousand, one hundred sixty".