6542800 has 60 divisors (see below), whose sum is σ = 17159616. Its totient is φ = 2377600.

The previous prime is 6542791. The next prime is 6542801. The reversal of 6542800 is 82456.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6542801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3657 + ... + 5143.

Almost surely, 2^6542800 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 6542800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8579808).

6542800 is an abundant number, since it is smaller than the sum of its proper divisors (10616816).

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

6542800 is a wasteful number, since it uses less digits than its factorization.

6542800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 6542800 is about 2557.8897552475. The cubic root of 6542800 is about 187.0342812269.

The spelling of 6542800 in words is "six million, five hundred forty-two thousand, eight hundred".