5626800 has 120 divisors (see below), whose sum is σ = 20065680.
Its totient is φ = 1497600.
The previous prime is 5626769. The next prime is 5626807. The reversal of 5626800 is 86265.
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 not an unprimeable number, because it can be changed into a prime (5626807) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10540 + ... + 11060.
It is an arithmetic number, because the mean of its divisors is an integer number (167214).
Almost surely, 25626800 is an apocalyptic number.
5626800 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 5626800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10032840).
5626800 is an abundant number, since it is smaller than the sum of its proper divisors (14438880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5626800 is a wasteful number, since it uses less digits than its factorization.
5626800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 548 (or 531 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
The square root of 5626800 is about 2372.0876880925.
The cubic root of 5626800 is about 177.8636332990.
The spelling of 5626800 in words is "five million, six hundred twenty-six thousand, eight hundred".