253760 has 56 divisors (see below), whose sum is σ = 661416. Its totient is φ = 92160.

The previous prime is 253751. The next prime is 253763. The reversal of 253760 is 67352.

253760 = T₅₉ + T₆₀ + ... + T₁₁₉.

253760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7744 + 246016 = 88^2 + 496^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4130 + ... + 4190.

It is an arithmetic number, because the mean of its divisors is an integer number (11811).

2²⁵³⁷⁶⁰ is an apocalyptic number.

253760 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 253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330708).

253760 is an abundant number, since it is smaller than the sum of its proper divisors (407656).

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

253760 is a wasteful number, since it uses less digits than its factorization.

253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 253760 is about 503.7459677258. The cubic root of 253760 is about 63.3103024908.

The spelling of 253760 in words is "two hundred fifty-three thousand, seven hundred sixty".