658628960 has 96 divisors (see below), whose sum is σ = 1797399072. Its totient is φ = 225402880.

The previous prime is 658628953. The next prime is 658628963. The reversal of 658628960 is 69826856.

It is a junction number, because it is equal to n+sod(n) for n = 658628899 and 658628908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (658628963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18914 + ... + 40926.

It is an arithmetic number, because the mean of its divisors is an integer number (18722907).

Almost surely, 2^658628960 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 658628960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898699536).

658628960 is an abundant number, since it is smaller than the sum of its proper divisors (1138770112).

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

658628960 is a wasteful number, since it uses less digits than its factorization.

658628960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22056 (or 22048 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 50.

The square root of 658628960 is about 25663.7674553055. The cubic root of 658628960 is about 870.0554683444.

The spelling of 658628960 in words is "six hundred fifty-eight million, six hundred twenty-eight thousand, nine hundred sixty".