5325600 has 144 divisors (see below), whose sum is σ = 19873728. Its totient is φ = 1213440.

The previous prime is 5325587. The next prime is 5325623. The reversal of 5325600 is 65235.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 23 ways as a sum of consecutive naturals, for example, 16642 + ... + 16958.

It is an arithmetic number, because the mean of its divisors is an integer number (138012).

Almost surely, 2^5325600 is an apocalyptic number.

5325600 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 5325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9936864).

5325600 is an abundant number, since it is smaller than the sum of its proper divisors (14548128).

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

5325600 is a wasteful number, since it uses less digits than its factorization.

5325600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 5325600 is about 2307.7261535980. The cubic root of 5325600 is about 174.6316059871.

The spelling of 5325600 in words is "five million, three hundred twenty-five thousand, six hundred".