5209600 has 120 divisors (see below), whose sum is σ = 14461128. Its totient is φ = 1843200.

The previous prime is 5209577. The next prime is 5209601. The reversal of 5209600 is 69025.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5209601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140782 + ... + 140818.

Almost surely, 2^5209600 is an apocalyptic number.

5209600 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 5209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7230564).

5209600 is an abundant number, since it is smaller than the sum of its proper divisors (9251528).

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

5209600 is a wasteful number, since it uses less digits than its factorization.

5209600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 5209600 is about 2282.4548188299. The cubic root of 5209600 is about 173.3543695705.

The spelling of 5209600 in words is "five million, two hundred nine thousand, six hundred".