6551400 has 96 divisors (see below), whose sum is σ = 20757600. Its totient is φ = 1708800.

The previous prime is 6551393. The next prime is 6551407. The reversal of 6551400 is 41556.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6551393) and next prime (6551407).

It is not an unprimeable number, because it can be changed into a prime (6551407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36511 + ... + 36689.

It is an arithmetic number, because the mean of its divisors is an integer number (216225).

Almost surely, 2^6551400 is an apocalyptic number.

6551400 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 6551400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10378800).

6551400 is an abundant number, since it is smaller than the sum of its proper divisors (14206200).

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

6551400 is a wasteful number, since it uses less digits than its factorization.

6551400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 6551400 is about 2559.5702764331. The cubic root of 6551400 is about 187.1161926708.

Adding to 6551400 its reverse (41556), we get a palindrome (6592956).

The spelling of 6551400 in words is "six million, five hundred fifty-one thousand, four hundred".