5606400 has 132 divisors (see below), whose sum is σ = 18783272. Its totient is φ = 1474560.

The previous prime is 5606399. The next prime is 5606417. The reversal of 5606400 is 46065.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76764 + ... + 76836.

Almost surely, 2^5606400 is an apocalyptic number.

5606400 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 5606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9391636).

5606400 is an abundant number, since it is smaller than the sum of its proper divisors (13176872).

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

5606400 is a wasteful number, since it uses less digits than its factorization.

5606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5606400 is about 2367.7837739118. The cubic root of 5606400 is about 177.6484244222.

It can be divided in two parts, 5606 and 400, that added together give a palindrome (6006).

The spelling of 5606400 in words is "five million, six hundred six thousand, four hundred".