56546200 has 48 divisors (see below), whose sum is σ = 132335280. Its totient is φ = 22469760.

The previous prime is 56546197. The next prime is 56546209. The reversal of 56546200 is 264565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56546209) 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, 32554 + ... + 34246.

It is an arithmetic number, because the mean of its divisors is an integer number (2756985).

Almost surely, 2^56546200 is an apocalyptic number.

56546200 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 56546200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66167640).

56546200 is an abundant number, since it is smaller than the sum of its proper divisors (75789080).

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

56546200 is a wasteful number, since it uses less digits than its factorization.

56546200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 56546200 is about 7519.7207394956. The cubic root of 56546200 is about 383.8260750266.

The spelling of 56546200 in words is "fifty-six million, five hundred forty-six thousand, two hundred".