6064800 has 216 divisors, whose sum is σ = 23810976. Its totient is φ = 1313280.

The previous prime is 6064789. The next prime is 6064813. The reversal of 6064800 is 84606.

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 35 ways as a sum of consecutive naturals, for example, 319191 + ... + 319209.

It is an arithmetic number, because the mean of its divisors is an integer number (110236).

Almost surely, 2^6064800 is an apocalyptic number.

6064800 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 6064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11905488).

6064800 is an abundant number, since it is smaller than the sum of its proper divisors (17746176).

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

6064800 is a wasteful number, since it uses less digits than its factorization.

6064800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 36 counting only the distinct ones).

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

The square root of 6064800 is about 2462.6814653950. The cubic root of 6064800 is about 182.3638817373.

The spelling of 6064800 in words is "six million, sixty-four thousand, eight hundred".