653619648 has 56 divisors (see below), whose sum is σ = 1886590080. Its totient is φ = 198065920.

The previous prime is 653619643. The next prime is 653619671. The reversal of 653619648 is 846916356.

653619648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 653619597 and 653619606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653619643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152628 + ... + 156851.

Almost surely, 2^653619648 is an apocalyptic number.

It is an amenable number.

653619648 is an abundant number, since it is smaller than the sum of its proper divisors (1232970432).

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

653619648 is a wasteful number, since it uses less digits than its factorization.

653619648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309505 (or 309495 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 653619648 is about 25565.9861534813. The cubic root of 653619648 is about 867.8440686292.

The spelling of 653619648 in words is "six hundred fifty-three million, six hundred nineteen thousand, six hundred forty-eight".