53600 has 36 divisors (see below), whose sum is σ = 132804. Its totient is φ = 21120.

The previous prime is 53597. The next prime is 53609. The reversal of 53600 is 635.

53600 = T₁₉ + T₂₀ + ... + T₆₈.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53600.

It is not an unprimeable number, because it can be changed into a prime (53609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 767 + ... + 833.

It is an arithmetic number, because the mean of its divisors is an integer number (3689).

2⁵³⁶⁰⁰ is an apocalyptic number.

53600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53600 is the 134-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66402).

53600 is an abundant number, since it is smaller than the sum of its proper divisors (79204).

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

53600 is a wasteful number, since it uses less digits than its factorization.

53600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 53600 is about 231.5167380558. The cubic root of 53600 is about 37.7040726204.

The spelling of 53600 in words is "fifty-three thousand, six hundred".