653680512 has 96 divisors (see below), whose sum is σ = 1921214880. Its totient is φ = 213239808.

The previous prime is 653680499. The next prime is 653680513. The reversal of 653680512 is 215086356.

653680512 is a `hidden beast` number, since 65 + 3 + 6 + 80 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (653680513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48108 + ... + 60180.

It is an arithmetic number, because the mean of its divisors is an integer number (20012655).

Almost surely, 2^653680512 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 653680512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960607440).

653680512 is an abundant number, since it is smaller than the sum of its proper divisors (1267534368).

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

653680512 is a wasteful number, since it uses less digits than its factorization.

653680512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12140 (or 12125 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 653680512 is about 25567.1764573251. The cubic root of 653680512 is about 867.8710052031.

The spelling of 653680512 in words is "six hundred fifty-three million, six hundred eighty thousand, five hundred twelve".