253696608 has 144 divisors (see below), whose sum is σ = 798544656. Its totient is φ = 75755520.

The previous prime is 253696589. The next prime is 253696609. The reversal of 253696608 is 806696352.

It is a happy number.

253696608 is a `hidden beast` number, since 2 + 5 + 36 + 9 + 6 + 608 = 666.

253696608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253696609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230716 + ... + 231812.

It is an arithmetic number, because the mean of its divisors is an integer number (5545449).

Almost surely, 2^253696608 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 253696608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399272328).

253696608 is an abundant number, since it is smaller than the sum of its proper divisors (544848048).

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

253696608 is a wasteful number, since it uses less digits than its factorization.

253696608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 253696608 is about 15927.8563529434. The cubic root of 253696608 is about 633.0503018508.

The spelling of 253696608 in words is "two hundred fifty-three million, six hundred ninety-six thousand, six hundred eight".