5666400 has 108 divisors (see below), whose sum is σ = 20006532. Its totient is φ = 1509120.

The previous prime is 5666393. The next prime is 5666407. The reversal of 5666400 is 46665.

It is an interprime number because it is at equal distance from previous prime (5666393) and next prime (5666407).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5666407) 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 17 ways as a sum of consecutive naturals, for example, 6807 + ... + 7593.

Almost surely, 2^5666400 is an apocalyptic number.

5666400 is a gapful number since it is divisible by the number (50) 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 5666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10003266).

5666400 is an abundant number, since it is smaller than the sum of its proper divisors (14340132).

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

5666400 is a wasteful number, since it uses less digits than its factorization.

5666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5666400 is about 2380.4201309853. The cubic root of 5666400 is about 178.2799114059.

The spelling of 5666400 in words is "five million, six hundred sixty-six thousand, four hundred".