11949984 has 48 divisors (see below), whose sum is σ = 34856640. Its totient is φ = 3983040.

The previous prime is 11949979. The next prime is 11950007. The reversal of 11949984 is 48994911.

11949984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6052 + ... + 7779.

It is an arithmetic number, because the mean of its divisors is an integer number (726180).

Almost surely, 2^11949984 is an apocalyptic number.

It is an amenable number.

11949984 is an abundant number, since it is smaller than the sum of its proper divisors (22906656).

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

11949984 is a wasteful number, since it uses less digits than its factorization.

11949984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13850 (or 13836 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 11949984 is about 3456.8748892605. The cubic root of 11949984 is about 228.6243276374.

The spelling of 11949984 in words is "eleven million, nine hundred forty-nine thousand, nine hundred eighty-four".