4119984 has 150 divisors (see below), whose sum is σ = 13818684. Its totient is φ = 1175040.

The previous prime is 4119977. The next prime is 4119991. The reversal of 4119984 is 4899114.

It is an interprime number because it is at equal distance from previous prime (4119977) and next prime (4119991).

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

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 29 ways as a sum of consecutive naturals, for example, 242344 + ... + 242360.

Almost surely, 2^4119984 is an apocalyptic number.

4119984 is a gapful number since it is divisible by the number (44) 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 4119984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6909342).

4119984 is an abundant number, since it is smaller than the sum of its proper divisors (9698700).

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

4119984 is a wasteful number, since it uses less digits than its factorization.

4119984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 33 counting only the distinct ones).

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

The square root of 4119984 is about 2029.7743716975. The cubic root of 4119984 is about 160.3116841038.

The spelling of 4119984 in words is "four million, one hundred nineteen thousand, nine hundred eighty-four".