653248 has 28 divisors (see below), whose sum is σ = 1325880. Its totient is φ = 319232.

The previous prime is 653243. The next prime is 653267. The reversal of 653248 is 842356.

It is a d-powerful number, because it can be written as 6⁷ + 5⁷ + 2⁵ + 3⁵ + 4⁹ + 8⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653243) by changing a digit.

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, 3690 + ... + 3862.

2⁶⁵³²⁴⁸ 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 653248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662940).

653248 is an abundant number, since it is smaller than the sum of its proper divisors (672632).

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

653248 is a wasteful number, since it uses less digits than its factorization.

653248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 234 counting only the distinct ones).

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

The square root of 653248 is about 808.2375888314. The cubic root of 653248 is about 86.7679552123.

The spelling of 653248 in words is "six hundred fifty-three thousand, two hundred forty-eight".