6556400 has 60 divisors (see below), whose sum is σ = 16213992. Its totient is φ = 2545920.

The previous prime is 6556399. The next prime is 6556421. The reversal of 6556400 is 46556.

It is a self number, because there is not a number n which added to its sum of digits gives 6556400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14579 + ... + 15021.

Almost surely, 2^6556400 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 6556400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8106996).

6556400 is an abundant number, since it is smaller than the sum of its proper divisors (9657592).

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

6556400 is a wasteful number, since it uses less digits than its factorization.

6556400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 6556400 is about 2560.5468165999. The cubic root of 6556400 is about 187.1637826543.

It can be divided in two parts, 65 and 56400, that added together give a palindrome (56465).

The spelling of 6556400 in words is "six million, five hundred fifty-six thousand, four hundred".