11799984 has 120 divisors (see below), whose sum is σ = 36894960. Its totient is φ = 3236352.

The previous prime is 11799979. The next prime is 11800001. The reversal of 11799984 is 48999711.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68122 + ... + 68294.

It is an arithmetic number, because the mean of its divisors is an integer number (307458).

Almost surely, 2^11799984 is an apocalyptic number.

11799984 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 11799984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18447480).

11799984 is an abundant number, since it is smaller than the sum of its proper divisors (25094976).

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

11799984 is a wasteful number, since it uses less digits than its factorization.

11799984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 214 counting only the distinct ones).

The product of its digits is 163296, while the sum is 48.

The square root of 11799984 is about 3435.1104785727. The cubic root of 11799984 is about 227.6637085973.

The spelling of 11799984 in words is "eleven million, seven hundred ninety-nine thousand, nine hundred eighty-four".