11481600 has 240 divisors, whose sum is σ = 42622272. Its totient is φ = 2703360.

The previous prime is 11481571. The next prime is 11481607. The reversal of 11481600 is 618411.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11481607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499189 + ... + 499211.

Almost surely, 2^11481600 is an apocalyptic number.

11481600 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 11481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21311136).

11481600 is an abundant number, since it is smaller than the sum of its proper divisors (31140672).

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

11481600 is a wasteful number, since it uses less digits than its factorization.

11481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 11481600 is about 3388.4509735276. The cubic root of 11481600 is about 225.5974246474.

The spelling of 11481600 in words is "eleven million, four hundred eighty-one thousand, six hundred".