52203600 has 180 divisors, whose sum is σ = 192042396. Its totient is φ = 13086720.

The previous prime is 52203589. The next prime is 52203601. The reversal of 52203600 is 630225.

It can be written as a sum of positive squares in 6 ways, for example, as 3594816 + 48608784 = 1896^2 + 6972^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52203601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60774 + ... + 61626.

Almost surely, 2^52203600 is an apocalyptic number.

52203600 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 52203600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96021198).

52203600 is an abundant number, since it is smaller than the sum of its proper divisors (139838796).

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

52203600 is a wasteful number, since it uses less digits than its factorization.

52203600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 52203600 is about 7225.2058794196. The cubic root of 52203600 is about 373.7376218389.

Adding to 52203600 its reverse (630225), we get a palindrome (52833825).

The spelling of 52203600 in words is "fifty-two million, two hundred three thousand, six hundred".