55686200 has 48 divisors (see below), whose sum is σ = 132647760. Its totient is φ = 21728000.

The previous prime is 55686181. The next prime is 55686209. The reversal of 55686200 is 268655.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55686209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4805 + ... + 11595.

It is an arithmetic number, because the mean of its divisors is an integer number (2763495).

Almost surely, 2^55686200 is an apocalyptic number.

55686200 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 55686200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66323880).

55686200 is an abundant number, since it is smaller than the sum of its proper divisors (76961560).

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

55686200 is a wasteful number, since it uses less digits than its factorization.

55686200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6848 (or 6839 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 55686200 is about 7462.3186745140. The cubic root of 55686200 is about 381.8702811474.

The spelling of 55686200 in words is "fifty-five million, six hundred eighty-six thousand, two hundred".