11468800 has 102 divisors (see below), whose sum is σ = 32505608. Its totient is φ = 3932160.

The previous prime is 11468797. The next prime is 11468801. The reversal of 11468800 is 886411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11468801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1638397 + ... + 1638403.

Almost surely, 2^11468800 is an apocalyptic number.

11468800 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 11468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16252804).

11468800 is an abundant number, since it is smaller than the sum of its proper divisors (21036808).

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

11468800 is an frugal number, since it uses more digits than its factorization.

11468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 11468800 is about 3386.5616781627. The cubic root of 11468800 is about 225.5135594261.

Multiplying 11468800 by its sum of digits (28), we get a square (321126400 = 17920²).

11468800 divided by its sum of digits (28) gives a square (409600 = 640²).

The spelling of 11468800 in words is "eleven million, four hundred sixty-eight thousand, eight hundred".