11461140 has 72 divisors (see below), whose sum is σ = 35636328. Its totient is φ = 2979840.

The previous prime is 11461139. The next prime is 11461141. The reversal of 11461140 is 4116411.

11461140 is a `hidden beast` number, since 1 + 14 + 611 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (11461139) and next prime (11461141).

It can be written as a sum of positive squares in 4 ways, for example, as 412164 + 11048976 = 642^2 + 3324^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11461141) 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, 6604 + ... + 8156.

It is an arithmetic number, because the mean of its divisors is an integer number (494949).

Almost surely, 2^11461140 is an apocalyptic number.

11461140 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 11461140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17818164).

11461140 is an abundant number, since it is smaller than the sum of its proper divisors (24175188).

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

11461140 is a wasteful number, since it uses less digits than its factorization.

11461140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11461140 is about 3385.4305486895. The cubic root of 11461140 is about 225.4633414843.

Adding to 11461140 its reverse (4116411), we get a palindrome (15577551).

The spelling of 11461140 in words is "eleven million, four hundred sixty-one thousand, one hundred forty".