6098400 has 324 divisors, whose sum is σ = 27013896. Its totient is φ = 1267200.

The previous prime is 6098383. The next prime is 6098401. The reversal of 6098400 is 48906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6098401) 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 53 ways as a sum of consecutive naturals, for example, 554395 + ... + 554405.

Almost surely, 2^6098400 is an apocalyptic number.

6098400 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 6098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13506948).

6098400 is an abundant number, since it is smaller than the sum of its proper divisors (20915496).

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

6098400 is a wasteful number, since it uses less digits than its factorization.

6098400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6098400 is about 2469.4938752708. The cubic root of 6098400 is about 182.7000371188.

It can be divided in two parts, 609 and 8400, that added together give a palindrome (9009).

The spelling of 6098400 in words is "six million, ninety-eight thousand, four hundred".