6351600 has 120 divisors (see below), whose sum is σ = 20911360. Its totient is φ = 1647360.

The previous prime is 6351581. The next prime is 6351601. The reversal of 6351600 is 61536.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6351601) 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 23 ways as a sum of consecutive naturals, for example, 80361 + ... + 80439.

Almost surely, 2^6351600 is an apocalyptic number.

6351600 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 6351600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10455680).

6351600 is an abundant number, since it is smaller than the sum of its proper divisors (14559760).

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

6351600 is a wasteful number, since it uses less digits than its factorization.

6351600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 6351600 is about 2520.2380839913. The cubic root of 6351600 is about 185.1943416707.

Subtracting from 6351600 its reverse (61536), we obtain a square (6290064 = 2508²).

The spelling of 6351600 in words is "six million, three hundred fifty-one thousand, six hundred".