653160672 has 240 divisors, whose sum is σ = 2075773392. Its totient is φ = 201553920.

The previous prime is 653160671. The next prime is 653160713. The reversal of 653160672 is 276061356.

653160672 is a `hidden beast` number, since 6 + 531 + 60 + 67 + 2 = 666.

653160672 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653160671) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10707522 + ... + 10707582.

Almost surely, 2^653160672 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 653160672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037886696).

653160672 is an abundant number, since it is smaller than the sum of its proper divisors (1422612720).

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

653160672 is an frugal number, since it uses more digits than its factorization.

653160672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 653160672 is about 25557.0082756179. The cubic root of 653160672 is about 867.6408857990.

The spelling of 653160672 in words is "six hundred fifty-three million, one hundred sixty thousand, six hundred seventy-two".