4155984 has 180 divisors, whose sum is σ = 14701440. Its totient is φ = 1088640.

The previous prime is 4155929. The next prime is 4155989. The reversal of 4155984 is 4895514.

4155984 = 81³ + 82³ + ... + 87³.

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 (4155989) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134049 + ... + 134079.

Almost surely, 2^4155984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4155984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7350720).

4155984 is an abundant number, since it is smaller than the sum of its proper divisors (10545456).

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

4155984 is a wasteful number, since it uses less digits than its factorization.

4155984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 62 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 4155984 is about 2038.6230647179. The cubic root of 4155984 is about 160.7772597233. Note that the first 3 decimals are identical.

The spelling of 4155984 in words is "four million, one hundred fifty-five thousand, nine hundred eighty-four".