5168800 has 144 divisors (see below), whose sum is σ = 15748992. Its totient is φ = 1612800.

The previous prime is 5168791. The next prime is 5168803. The reversal of 5168800 is 88615.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (5168803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72765 + ... + 72835.

It is an arithmetic number, because the mean of its divisors is an integer number (109368).

Almost surely, 2^5168800 is an apocalyptic number.

5168800 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 5168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874496).

5168800 is an abundant number, since it is smaller than the sum of its proper divisors (10580192).

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

5168800 is a wasteful number, since it uses less digits than its factorization.

5168800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 5168800 is about 2273.4995051682. The cubic root of 5168800 is about 172.9006301155.

It can be divided in two parts, 516 and 8800, that added together give a triangular number (9316 = T₁₃₆).

The spelling of 5168800 in words is "five million, one hundred sixty-eight thousand, eight hundred".