6616400 has 120 divisors (see below), whose sum is σ = 19373760. Its totient is φ = 2119680.

The previous prime is 6616399. The next prime is 6616403. The reversal of 6616400 is 46166.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6616403) 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, 47531 + ... + 47669.

It is an arithmetic number, because the mean of its divisors is an integer number (161448).

Almost surely, 2^6616400 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 6616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9686880).

6616400 is an abundant number, since it is smaller than the sum of its proper divisors (12757360).

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

6616400 is a wasteful number, since it uses less digits than its factorization.

6616400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 6616400 is about 2572.2363810505. The cubic root of 6616400 is about 187.7329844515.

The spelling of 6616400 in words is "six million, six hundred sixteen thousand, four hundred".