253648 has 20 divisors (see below), whose sum is σ = 499968. Its totient is φ = 124640.

The previous prime is 253639. The next prime is 253651. The reversal of 253648 is 846352.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹⁵ + 5⁵ + 6⁵ + 3¹¹ + 4³ + 8⁵ .

It is a congruent number.

It is an unprimeable number.

253648 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 3 ways as a sum of consecutive naturals, for example, 1233 + ... + 1423.

2²⁵³⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

253648 is a deficient number, since it is larger than the sum of its proper divisors (246320).

253648 is a wasteful number, since it uses less digits than its factorization.

253648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 253648 is about 503.6347883139. The cubic root of 253648 is about 63.3009868680.

Subtracting 253648 from its reverse (846352), we obtain a cube (592704 = 84³).

The spelling of 253648 in words is "two hundred fifty-three thousand, six hundred forty-eight".