51667200 has 432 divisors, whose sum is σ = 212903040. Its totient is φ = 12165120.

The previous prime is 51667193. The next prime is 51667211. The reversal of 51667200 is 276615.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2246389 + ... + 2246411.

Almost surely, 2^51667200 is an apocalyptic number.

51667200 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 51667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106451520).

51667200 is an abundant number, since it is smaller than the sum of its proper divisors (161235840).

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

51667200 is a wasteful number, since it uses less digits than its factorization.

51667200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 51667200 is about 7187.9899832985. The cubic root of 51667200 is about 372.4531418619.

The spelling of 51667200 in words is "fifty-one million, six hundred sixty-seven thousand, two hundred".