6068400 has 120 divisors (see below), whose sum is σ = 20988240. Its totient is φ = 1489920.

The previous prime is 6068399. The next prime is 6068411. The reversal of 6068400 is 48606.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 15406 + ... + 15794.

It is an arithmetic number, because the mean of its divisors is an integer number (174902).

Almost surely, 2^6068400 is an apocalyptic number.

6068400 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 6068400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10494120).

6068400 is an abundant number, since it is smaller than the sum of its proper divisors (14919840).

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

6068400 is a wasteful number, since it uses less digits than its factorization.

6068400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6068400 is about 2463.4122675671. The cubic root of 6068400 is about 182.3999576793.

The spelling of 6068400 in words is "six million, sixty-eight thousand, four hundred".