5649600 has 168 divisors, whose sum is σ = 20409408. Its totient is φ = 1356800.

The previous prime is 5649599. The next prime is 5649619. The reversal of 5649600 is 69465.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52747 + ... + 52853.

Almost surely, 2^5649600 is an apocalyptic number.

5649600 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 5649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10204704).

5649600 is an abundant number, since it is smaller than the sum of its proper divisors (14759808).

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

5649600 is a wasteful number, since it uses less digits than its factorization.

5649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 5649600 is about 2376.8887226793. Note that the first 3 decimals coincide. The cubic root of 5649600 is about 178.1035462004.

Subtracting from 5649600 its product of nonzero digits (6480), we obtain a triangular number (5643120 = T₃₃₅₉).

The spelling of 5649600 in words is "five million, six hundred forty-nine thousand, six hundred".