6002304 has 192 divisors, whose sum is σ = 20930400. Its totient is φ = 1505280.

The previous prime is 6002291. The next prime is 6002357. The reversal of 6002304 is 4032006.

It is a tau number, because it is divible by the number of its divisors (192).

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, 206962 + ... + 206990.

Almost surely, 2^6002304 is an apocalyptic number.

6002304 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 6002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10465200).

6002304 is an abundant number, since it is smaller than the sum of its proper divisors (14928096).

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

6002304 is a wasteful number, since it uses less digits than its factorization.

6002304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 6002304 is about 2449.9599996735. The cubic root of 6002304 is about 181.7353154503.

The spelling of 6002304 in words is "six million, two thousand, three hundred four".