11904984 has 192 divisors, whose sum is σ = 41932800. Its totient is φ = 2965248.

The previous prime is 11904983. The next prime is 11904989. The reversal of 11904984 is 48940911.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11904983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150657 + ... + 150735.

It is an arithmetic number, because the mean of its divisors is an integer number (218400).

Almost surely, 2^11904984 is an apocalyptic number.

11904984 is a gapful number since it is divisible by the number (14) 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 11904984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20966400).

11904984 is an abundant number, since it is smaller than the sum of its proper divisors (30027816).

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

11904984 is a wasteful number, since it uses less digits than its factorization.

11904984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 11904984 is about 3450.3599812194. The cubic root of 11904984 is about 228.3369901321.

The spelling of 11904984 in words is "eleven million, nine hundred four thousand, nine hundred eighty-four".