5165600 has 72 divisors (see below), whose sum is σ = 13780368. Its totient is φ = 1875200.

The previous prime is 5165597. The next prime is 5165621. The reversal of 5165600 is 65615.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8507 + ... + 9093.

It is an arithmetic number, because the mean of its divisors is an integer number (191394).

Almost surely, 2^5165600 is an apocalyptic number.

5165600 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 5165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6890184).

5165600 is an abundant number, since it is smaller than the sum of its proper divisors (8614768).

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

5165600 is a wasteful number, since it uses less digits than its factorization.

5165600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 5165600 is about 2272.7956353355. The cubic root of 5165600 is about 172.8649418684.

It can be divided in two parts, 516 and 5600, that added together give a palindrome (6116).

The spelling of 5165600 in words is "five million, one hundred sixty-five thousand, six hundred".