653374848 has 128 divisors (see below), whose sum is σ = 2047703040. Its totient is φ = 180633600.

The previous prime is 653374829. The next prime is 653374853. The reversal of 653374848 is 848473356.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 653374797 and 653374806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79408 + ... + 87248.

It is an arithmetic number, because the mean of its divisors is an integer number (15997680).

Almost surely, 2^653374848 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 653374848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023851520).

653374848 is an abundant number, since it is smaller than the sum of its proper divisors (1394328192).

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

653374848 is a wasteful number, since it uses less digits than its factorization.

653374848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7896 (or 7884 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The square root of 653374848 is about 25561.1980939861. The cubic root of 653374848 is about 867.7357106277.

The spelling of 653374848 in words is "six hundred fifty-three million, three hundred seventy-four thousand, eight hundred forty-eight".