5468800 has 48 divisors (see below), whose sum is σ = 13517550. Its totient is φ = 2186240.

The previous prime is 5468797. The next prime is 5468807. The reversal of 5468800 is 88645.

It can be written as a sum of positive squares in 3 ways, for example, as 3182656 + 2286144 = 1784^2 + 1512^2 .

It is not an unprimeable number, because it can be changed into a prime (5468807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2346 + ... + 4054.

Almost surely, 2^5468800 is an apocalyptic number.

5468800 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 5468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6758775).

5468800 is an abundant number, since it is smaller than the sum of its proper divisors (8048750).

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

5468800 is a wasteful number, since it uses less digits than its factorization.

5468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 5468800 is about 2338.5465571590. The cubic root of 5468800 is about 176.1830052370.

The spelling of 5468800 in words is "five million, four hundred sixty-eight thousand, eight hundred".