51676200 has 144 divisors (see below), whose sum is σ = 182800800. Its totient is φ = 13046400.

The previous prime is 51676187. The next prime is 51676201. The reversal of 51676200 is 267615.

It is not an unprimeable number, because it can be changed into a prime (51676201) 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, 33445 + ... + 34955.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 2^51676200 is an apocalyptic number.

51676200 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 51676200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

51676200 is an abundant number, since it is smaller than the sum of its proper divisors (131124600).

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

51676200 is a wasteful number, since it uses less digits than its factorization.

51676200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1540 counting only the distinct ones).

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

The square root of 51676200 is about 7188.6160003161. The cubic root of 51676200 is about 372.4747666945.

The spelling of 51676200 in words is "fifty-one million, six hundred seventy-six thousand, two hundred".