53643200 has 84 divisors (see below), whose sum is σ = 142204440. Its totient is φ = 19799040.

The previous prime is 53643197. The next prime is 53643241. The reversal of 53643200 is 234635.

It is a congruent number.

It is an unprimeable number.

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, 19511 + ... + 22089.

It is an arithmetic number, because the mean of its divisors is an integer number (1692910).

Almost surely, 2^53643200 is an apocalyptic number.

53643200 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 53643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71102220).

53643200 is an abundant number, since it is smaller than the sum of its proper divisors (88561240).

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

53643200 is a wasteful number, since it uses less digits than its factorization.

53643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 53643200 is about 7324.1518280276. The cubic root of 53643200 is about 377.1419935264.

Adding to 53643200 its reverse (234635), we get a palindrome (53877835).

The spelling of 53643200 in words is "fifty-three million, six hundred forty-three thousand, two hundred".