5289600 has 192 divisors, whose sum is σ = 18972000. Its totient is φ = 1290240.

The previous prime is 5289593. The next prime is 5289611. The reversal of 5289600 is 69825.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 182386 + ... + 182414.

Almost surely, 2^5289600 is an apocalyptic number.

5289600 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 5289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9486000).

5289600 is an abundant number, since it is smaller than the sum of its proper divisors (13682400).

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

5289600 is a wasteful number, since it uses less digits than its factorization.

5289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 5289600 is about 2299.9130418344. The cubic root of 5289600 is about 174.2372243240.

The spelling of 5289600 in words is "five million, two hundred eighty-nine thousand, six hundred".