11882400 has 72 divisors (see below), whose sum is σ = 38685024. Its totient is φ = 3168000.

The previous prime is 11882357. The next prime is 11882401. The reversal of 11882400 is 428811.

11882400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11882401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76 + ... + 4875.

It is an arithmetic number, because the mean of its divisors is an integer number (537292).

Almost surely, 2^11882400 is an apocalyptic number.

11882400 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 11882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19342512).

11882400 is an abundant number, since it is smaller than the sum of its proper divisors (26802624).

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

11882400 is a wasteful number, since it uses less digits than its factorization.

11882400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4974 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 11882400 is about 3447.0857256529. The cubic root of 11882400 is about 228.1925120756.

The spelling of 11882400 in words is "eleven million, eight hundred eighty-two thousand, four hundred".