51833600 has 216 divisors, whose sum is σ = 159677280. Its totient is φ = 16220160.

The previous prime is 51833597. The next prime is 51833609. The reversal of 51833600 is 633815.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 51833600.

It is not an unprimeable number, because it can be changed into a prime (51833609) 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 23 ways as a sum of consecutive naturals, for example, 582356 + ... + 582444.

Almost surely, 2^51833600 is an apocalyptic number.

51833600 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 51833600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79838640).

51833600 is an abundant number, since it is smaller than the sum of its proper divisors (107843680).

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

51833600 is a wasteful number, since it uses less digits than its factorization.

51833600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 51833600 is about 7199.5555418373. Note that the first 4 decimals coincide. The cubic root of 51833600 is about 372.8525557249.

The spelling of 51833600 in words is "fifty-one million, eight hundred thirty-three thousand, six hundred".