6009984 has 128 divisors (see below), whose sum is σ = 18604800. Its totient is φ = 1907712.

The previous prime is 6009979. The next prime is 6010009. The reversal of 6009984 is 4899006.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6009984² = 72239815360512, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127849 + ... + 127895.

It is an arithmetic number, because the mean of its divisors is an integer number (145350).

Almost surely, 2^6009984 is an apocalyptic number.

6009984 is a gapful number since it is divisible by the number (64) 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 6009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9302400).

6009984 is an abundant number, since it is smaller than the sum of its proper divisors (12594816).

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

6009984 is a wasteful number, since it uses less digits than its factorization.

6009984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6009984 is about 2451.5268711560. The cubic root of 6009984 is about 181.8127930524.

The spelling of 6009984 in words is "six million, nine thousand, nine hundred eighty-four".