653355648 has 192 divisors, whose sum is σ = 2096565120. Its totient is φ = 193597440.

The previous prime is 653355643. The next prime is 653355649. The reversal of 653355648 is 846553356.

653355648 is a `hidden beast` number, since 6 + 53 + 3 + 556 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (653355643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 595036 + ... + 596132.

It is an arithmetic number, because the mean of its divisors is an integer number (10919610).

Almost surely, 2^653355648 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 653355648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048282560).

653355648 is an abundant number, since it is smaller than the sum of its proper divisors (1443209472).

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

653355648 is a wasteful number, since it uses less digits than its factorization.

653355648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1160 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The square root of 653355648 is about 25560.8225219769. The cubic root of 653355648 is about 867.7272108164.

The spelling of 653355648 in words is "six hundred fifty-three million, three hundred fifty-five thousand, six hundred forty-eight".