6701200 has 60 divisors (see below), whose sum is σ = 17574768. Its totient is φ = 2435200.

The previous prime is 6701197. The next prime is 6701207. The reversal of 6701200 is 21076.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6701207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3639 + ... + 5161.

Almost surely, 2^6701200 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 6701200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8787384).

6701200 is an abundant number, since it is smaller than the sum of its proper divisors (10873568).

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

6701200 is a wasteful number, since it uses less digits than its factorization.

6701200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 6701200 is about 2588.6676109536. The cubic root of 6701200 is about 188.5316173773.

Adding to 6701200 its reverse (21076), we get a palindrome (6722276).

The spelling of 6701200 in words is "six million, seven hundred one thousand, two hundred".