253600 has 36 divisors (see below), whose sum is σ = 621054. Its totient is φ = 101120.

The previous prime is 253573. The next prime is 253601. The reversal of 253600 is 6352.

It can be written as a sum of positive squares in 3 ways, for example, as 121104 + 132496 = 348^2 + 364^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (253601) by changing a digit.

253600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 642 + ... + 958.

2²⁵³⁶⁰⁰ is an apocalyptic number.

253600 is a gapful number since it is divisible by the number (20) 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 253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310527).

253600 is an abundant number, since it is smaller than the sum of its proper divisors (367454).

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

253600 is a wasteful number, since it uses less digits than its factorization.

253600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 253600 is about 503.5871324806. The cubic root of 253600 is about 63.2969936188.

Adding to 253600 its reverse (6352), we get a palindrome (259952).

It can be divided in two parts, 25 and 3600, that multiplied together give a square (90000 = 300²).

The spelling of 253600 in words is "two hundred fifty-three thousand, six hundred".