6140800 has 96 divisors (see below), whose sum is σ = 16126200. Its totient is φ = 2304000.

The previous prime is 6140789. The next prime is 6140803. The reversal of 6140800 is 80416.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6140803) 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, 60750 + ... + 60850.

Almost surely, 2^6140800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8063100).

6140800 is an abundant number, since it is smaller than the sum of its proper divisors (9985400).

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

6140800 is a wasteful number, since it uses less digits than its factorization.

6140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 6140800 is about 2478.0637602774. The cubic root of 6140800 is about 183.1224756687.

The spelling of 6140800 in words is "six million, one hundred forty thousand, eight hundred".