253638336 has 56 divisors (see below), whose sum is σ = 766958080. Its totient is φ = 72467712.

The previous prime is 253638323. The next prime is 253638361. The reversal of 253638336 is 633836352.

253638336 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 (56).

It is a junction number, because it is equal to n+sod(n) for n = 253638294 and 253638303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93016 + ... + 95703.

It is an arithmetic number, because the mean of its divisors is an integer number (13695680).

Almost surely, 2^253638336 is an apocalyptic number.

It is an amenable number.

253638336 is an abundant number, since it is smaller than the sum of its proper divisors (513319744).

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

253638336 is a wasteful number, since it uses less digits than its factorization.

253638336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188741 (or 188731 counting only the distinct ones).

The product of its digits is 233280, while the sum is 39.

The square root of 253638336 is about 15926.0269998515. The cubic root of 253638336 is about 633.0018293437.

The spelling of 253638336 in words is "two hundred fifty-three million, six hundred thirty-eight thousand, three hundred thirty-six".