11462160 has 80 divisors (see below), whose sum is σ = 35872704. Its totient is φ = 3027456.

The previous prime is 11462147. The next prime is 11462173. The reversal of 11462160 is 6126411.

It is an interprime number because it is at equal distance from previous prime (11462147) and next prime (11462173).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11462160² = 262762223731200, which contains 22 as substring.

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, 38974 + ... + 39266.

Almost surely, 2^11462160 is an apocalyptic number.

11462160 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 11462160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17936352).

11462160 is an abundant number, since it is smaller than the sum of its proper divisors (24410544).

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

11462160 is a wasteful number, since it uses less digits than its factorization.

11462160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 11462160 is about 3385.5811908740. The cubic root of 11462160 is about 225.4700297598.

Adding to 11462160 its reverse (6126411), we get a palindrome (17588571).

The spelling of 11462160 in words is "eleven million, four hundred sixty-two thousand, one hundred sixty".