55681600 has 84 divisors (see below), whose sum is σ = 147606004. Its totient is φ = 20551680.

The previous prime is 55681583. The next prime is 55681631. The reversal of 55681600 is 618655.

It can be written as a sum of positive squares in 6 ways, for example, as 21013056 + 34668544 = 4584^2 + 5888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19462 + ... + 22138.

Almost surely, 2^55681600 is an apocalyptic number.

55681600 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 55681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73803002).

55681600 is an abundant number, since it is smaller than the sum of its proper divisors (91924404).

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

55681600 is a wasteful number, since it uses less digits than its factorization.

55681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 55681600 is about 7462.0104529544. The cubic root of 55681600 is about 381.8597659649.

The spelling of 55681600 in words is "fifty-five million, six hundred eighty-one thousand, six hundred".