11645160 has 64 divisors (see below), whose sum is σ = 35614080. Its totient is φ = 3045120.

The previous prime is 11645147. The next prime is 11645173. The reversal of 11645160 is 6154611.

It is an interprime number because it is at equal distance from previous prime (11645147) and next prime (11645173).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11645160.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5445 + ... + 7275.

It is an arithmetic number, because the mean of its divisors is an integer number (556470).

Almost surely, 2^11645160 is an apocalyptic number.

11645160 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 11645160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17807040).

11645160 is an abundant number, since it is smaller than the sum of its proper divisors (23968920).

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

11645160 is a wasteful number, since it uses less digits than its factorization.

11645160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 11645160 is about 3412.5005494505. The cubic root of 11645160 is about 226.6636197207.

Adding to 11645160 its reverse (6154611), we get a palindrome (17799771).

The spelling of 11645160 in words is "eleven million, six hundred forty-five thousand, one hundred sixty".