11490800 has 60 divisors (see below), whose sum is σ = 28830000. Its totient is φ = 4392960.

The previous prime is 11490799. The next prime is 11490851. The reversal of 11490800 is 809411.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8576 + ... + 9824.

It is an arithmetic number, because the mean of its divisors is an integer number (480500).

Almost surely, 2^11490800 is an apocalyptic number.

11490800 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 11490800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14415000).

11490800 is an abundant number, since it is smaller than the sum of its proper divisors (17339200).

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

11490800 is a wasteful number, since it uses less digits than its factorization.

11490800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 11490800 is about 3389.8082541642. The cubic root of 11490800 is about 225.6576642830.

The spelling of 11490800 in words is "eleven million, four hundred ninety thousand, eight hundred".