11461200 has 60 divisors (see below), whose sum is σ = 36717888. Its totient is φ = 3056000.

The previous prime is 11461193. The next prime is 11461207. The reversal of 11461200 is 216411.

It is an interprime number because it is at equal distance from previous prime (11461193) and next prime (11461207).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11461200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11461207) 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 11 ways as a sum of consecutive naturals, for example, 3576 + ... + 5975.

Almost surely, 2^11461200 is an apocalyptic number.

11461200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11461200 is an abundant number, since it is smaller than the sum of its proper divisors (25256688).

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

11461200 is a wasteful number, since it uses less digits than its factorization.

11461200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9572 (or 9561 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11461200 is about 3385.4394101800. The cubic root of 11461200 is about 225.4637349233.

Adding to 11461200 its reverse (216411), we get a palindrome (11677611).

It can be divided in two parts, 1146 and 1200, that added together give a triangular number (2346 = T₆₈).

The spelling of 11461200 in words is "eleven million, four hundred sixty-one thousand, two hundred".