53106800 has 60 divisors (see below), whose sum is σ = 128927760. Its totient is φ = 21020160.

The previous prime is 53106797. The next prime is 53106829. The reversal of 53106800 is 860135.

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, 40556 + ... + 41844.

It is an arithmetic number, because the mean of its divisors is an integer number (2148796).

Almost surely, 2^53106800 is an apocalyptic number.

53106800 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 53106800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64463880).

53106800 is an abundant number, since it is smaller than the sum of its proper divisors (75820960).

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

53106800 is a wasteful number, since it uses less digits than its factorization.

53106800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 53106800 is about 7287.4412519073. The cubic root of 53106800 is about 375.8807151415.

Adding to 53106800 its reverse (860135), we get a palindrome (53966935).

The spelling of 53106800 in words is "fifty-three million, one hundred six thousand, eight hundred".