5381600 has 108 divisors (see below), whose sum is σ = 15514632. Its totient is φ = 1785600.

The previous prime is 5381599. The next prime is 5381627. The reversal of 5381600 is 61835.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 173585 + ... + 173615.

It is an arithmetic number, because the mean of its divisors is an integer number (143654).

Almost surely, 2^5381600 is an apocalyptic number.

5381600 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 5381600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7757316).

5381600 is an abundant number, since it is smaller than the sum of its proper divisors (10133032).

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

5381600 is a wasteful number, since it uses less digits than its factorization.

5381600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 5381600 is about 2319.8275797998. The cubic root of 5381600 is about 175.2415711421.

The spelling of 5381600 in words is "five million, three hundred eighty-one thousand, six hundred".