5648400 has 120 divisors (see below), whose sum is σ = 20142560. Its totient is φ = 1503360.

The previous prime is 5648393. The next prime is 5648411. The reversal of 5648400 is 48465.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 10539 + ... + 11061.

Almost surely, 2^5648400 is an apocalyptic number.

5648400 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 5648400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10071280).

5648400 is an abundant number, since it is smaller than the sum of its proper divisors (14494160).

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

5648400 is a wasteful number, since it uses less digits than its factorization.

5648400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5648400 is about 2376.6362784406. The cubic root of 5648400 is about 178.0909353141.

The spelling of 5648400 in words is "five million, six hundred forty-eight thousand, four hundred".