11800032 has 48 divisors (see below), whose sum is σ = 31307472. Its totient is φ = 3891200.

The previous prime is 11800001. The next prime is 11800037. The reversal of 11800032 is 23000811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 11799984 and 11800020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11800037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9088 + ... + 10304.

It is an arithmetic number, because the mean of its divisors is an integer number (652239).

Almost surely, 2^11800032 is an apocalyptic number.

11800032 is a gapful number since it is divisible by the number (12) 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 11800032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15653736).

11800032 is an abundant number, since it is smaller than the sum of its proper divisors (19507440).

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

11800032 is a wasteful number, since it uses less digits than its factorization.

11800032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1323 counting only the distinct ones).

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

The square root of 11800032 is about 3435.1174652405. The cubic root of 11800032 is about 227.6640172939.

Adding to 11800032 its reverse (23000811), we get a palindrome (34800843).

The spelling of 11800032 in words is "eleven million, eight hundred thousand, thirty-two".