5345600 has 84 divisors (see below), whose sum is σ = 14220444. Its totient is φ = 1966080.

The previous prime is 5345581. The next prime is 5345611. The reversal of 5345600 is 65435.

It can be written as a sum of positive squares in 6 ways, for example, as 256 + 5345344 = 16^2 + 2312^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20672 + ... + 20928.

It is an arithmetic number, because the mean of its divisors is an integer number (169291).

Almost surely, 2^5345600 is an apocalyptic number.

5345600 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 5345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7110222).

5345600 is an abundant number, since it is smaller than the sum of its proper divisors (8874844).

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

5345600 is a wasteful number, since it uses less digits than its factorization.

5345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 5345600 is about 2312.0553626589. The cubic root of 5345600 is about 174.8499393886.

It can be divided in two parts, 5 and 345600, that multiplied together give a cube (1728000 = 120³).

The spelling of 5345600 in words is "five million, three hundred forty-five thousand, six hundred".