653794848 has 144 divisors (see below), whose sum is σ = 2218376160. Its totient is φ = 186786432.

The previous prime is 653794837. The next prime is 653794861. The reversal of 653794848 is 848497356.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 653794794 and 653794803.

It is an unprimeable number.

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, 34615 + ... + 50057.

It is an arithmetic number, because the mean of its divisors is an integer number (15405390).

Almost surely, 2^653794848 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 653794848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109188080).

653794848 is an abundant number, since it is smaller than the sum of its proper divisors (1564581312).

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

653794848 is a wasteful number, since it uses less digits than its factorization.

653794848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15476 (or 15455 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 653794848 is about 25569.4123514796. The cubic root of 653794848 is about 867.9216023540.

The spelling of 653794848 in words is "six hundred fifty-three million, seven hundred ninety-four thousand, eight hundred forty-eight".