5337600 has 120 divisors (see below), whose sum is σ = 17759280. Its totient is φ = 1413120.

The previous prime is 5337599. The next prime is 5337623. The reversal of 5337600 is 67335.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 38331 + ... + 38469.

It is an arithmetic number, because the mean of its divisors is an integer number (147994).

Almost surely, 2^5337600 is an apocalyptic number.

5337600 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 5337600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8879640).

5337600 is an abundant number, since it is smaller than the sum of its proper divisors (12421680).

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

5337600 is a wasteful number, since it uses less digits than its factorization.

5337600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 5337600 is about 2310.3246525110. The cubic root of 5337600 is about 174.7626714866.

The spelling of 5337600 in words is "five million, three hundred thirty-seven thousand, six hundred".