5181600 has 144 divisors (see below), whose sum is σ = 17998848. Its totient is φ = 1290240.

The previous prime is 5181599. The next prime is 5181611. The reversal of 5181600 is 61815.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40737 + ... + 40863.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

Almost surely, 2^5181600 is an apocalyptic number.

5181600 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 5181600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999424).

5181600 is an abundant number, since it is smaller than the sum of its proper divisors (12817248).

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

5181600 is a wasteful number, since it uses less digits than its factorization.

5181600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 5181600 is about 2276.3128080297. The cubic root of 5181600 is about 173.0432359888.

It can be divided in two parts, 51 and 81600, that multiplied together give a square (4161600 = 2040²).

The spelling of 5181600 in words is "five million, one hundred eighty-one thousand, six hundred".