6002880 has 168 divisors, whose sum is σ = 21195792. Its totient is φ = 1437696.

The previous prime is 6002869. The next prime is 6002881. The reversal of 6002880 is 882006.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6002880.

It is not an unprimeable number, because it can be changed into a prime (6002881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162222 + ... + 162258.

Almost surely, 2^6002880 is an apocalyptic number.

6002880 is a gapful number since it is divisible by the number (60) 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 6002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10597896).

6002880 is an abundant number, since it is smaller than the sum of its proper divisors (15192912).

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

6002880 is a wasteful number, since it uses less digits than its factorization.

6002880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 6002880 is about 2450.0775497931. The cubic root of 6002880 is about 181.7411285621.

Adding to 6002880 its reverse (882006), we get a palindrome (6884886).

It can be divided in two parts, 600 and 2880, that multiplied together give a cube (1728000 = 120³).

The spelling of 6002880 in words is "six million, two thousand, eight hundred eighty".