11821488 has 80 divisors (see below), whose sum is σ = 35283456. Its totient is φ = 3340800.

The previous prime is 11821483. The next prime is 11821499. The reversal of 11821488 is 88412811.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11821483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50620 + ... + 50852.

Almost surely, 2^11821488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11821488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17641728).

11821488 is an abundant number, since it is smaller than the sum of its proper divisors (23461968).

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

11821488 is a wasteful number, since it uses less digits than its factorization.

11821488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 396 counting only the distinct ones).

The product of its digits is 4096, while the sum is 33.

The square root of 11821488 is about 3438.2390841825. The cubic root of 11821488 is about 227.8019209168.

The spelling of 11821488 in words is "eleven million, eight hundred twenty-one thousand, four hundred eighty-eight".