6024000 has 112 divisors (see below), whose sum is σ = 19970496. Its totient is φ = 1600000.

The previous prime is 6023971. The next prime is 6024017. The reversal of 6024000 is 4206.

6024000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 23875 + ... + 24125.

It is an arithmetic number, because the mean of its divisors is an integer number (178308).

Almost surely, 2^6024000 is an apocalyptic number.

6024000 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 6024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9985248).

6024000 is an abundant number, since it is smaller than the sum of its proper divisors (13946496).

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

6024000 is a wasteful number, since it uses less digits than its factorization.

6024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 6024000 is about 2454.3838330628. The cubic root of 6024000 is about 181.9540197012.

Adding to 6024000 its reverse (4206), we get a palindrome (6028206).

It can be divided in two parts, 60 and 24000, that multiplied together give a square (1440000 = 1200²).

The spelling of 6024000 in words is "six million, twenty-four thousand".