6005400 has 48 divisors (see below), whose sum is σ = 18618600. Its totient is φ = 1601280.

The previous prime is 6005383. The next prime is 6005401. The reversal of 6005400 is 45006.

It is a Harshad number since it is a multiple of its sum of digits (15).

6005400 is a modest number, since divided by 5400 gives 600 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 6005400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4405 + ... + 5604.

Almost surely, 2^6005400 is an apocalyptic number.

6005400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6005400 is an abundant number, since it is smaller than the sum of its proper divisors (12613200).

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

6005400 is a wasteful number, since it uses less digits than its factorization.

6005400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10028 (or 10019 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 6005400 is about 2450.5917652681. The cubic root of 6005400 is about 181.7665565551.

It can be divided in two parts, 600 and 5400, that multiplied together give a square (3240000 = 1800²).

The spelling of 6005400 in words is "six million, five thousand, four hundred".