5168400 has 120 divisors (see below), whose sum is σ = 17067360. Its totient is φ = 1336320.

The previous prime is 5168393. The next prime is 5168407. The reversal of 5168400 is 48615.

It is an interprime number because it is at equal distance from previous prime (5168393) and next prime (5168407).

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 (24).

It is not an unprimeable number, because it can be changed into a prime (5168407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70764 + ... + 70836.

It is an arithmetic number, because the mean of its divisors is an integer number (142228).

Almost surely, 2^5168400 is an apocalyptic number.

5168400 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 5168400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8533680).

5168400 is an abundant number, since it is smaller than the sum of its proper divisors (11898960).

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

5168400 is a wasteful number, since it uses less digits than its factorization.

5168400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5168400 is about 2273.4115333569. The cubic root of 5168400 is about 172.8961698903.

The spelling of 5168400 in words is "five million, one hundred sixty-eight thousand, four hundred".