253776 has 40 divisors (see below), whose sum is σ = 696384. Its totient is φ = 79360.

The previous prime is 253769. The next prime is 253777. The reversal of 253776 is 677352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253777) by changing a digit.

253776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 661 + ... + 971.

2²⁵³⁷⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348192).

253776 is an abundant number, since it is smaller than the sum of its proper divisors (442608).

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

253776 is a wasteful number, since it uses less digits than its factorization.

253776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 333 counting only the distinct ones).

The product of its digits is 8820, while the sum is 30.

The square root of 253776 is about 503.7618484959. The cubic root of 253776 is about 63.3116330703.

The spelling of 253776 in words is "two hundred fifty-three thousand, seven hundred seventy-six".