11809800 has 132 divisors (see below), whose sum is σ = 41186445. Its totient is φ = 3149280.

The previous prime is 11809799. The next prime is 11809807. The reversal of 11809800 is 890811.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 11573604 + 236196 = 3402^2 + 486^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2430.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11809807) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 2361958 + ... + 2361962.

Almost surely, 2^11809800 is an apocalyptic number.

11809800 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 11809800

11809800 is an abundant number, since it is smaller than the sum of its proper divisors (29376645).

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

11809800 is an frugal number, since it uses more digits than its factorization.

11809800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 11809800 is about 3436.5389565666. The cubic root of 11809800 is about 227.7268196315.

The spelling of 11809800 in words is "eleven million, eight hundred nine thousand, eight hundred".