658723968 has 256 divisors, whose sum is σ = 2258361600. Its totient is φ = 185131008.

The previous prime is 658723963. The next prime is 658723997. The reversal of 658723968 is 869327856.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (658723963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1765830 + ... + 1766202.

It is an arithmetic number, because the mean of its divisors is an integer number (8821725).

Almost surely, 2^658723968 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 658723968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129180800).

658723968 is an abundant number, since it is smaller than the sum of its proper divisors (1599637632).

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

658723968 is a wasteful number, since it uses less digits than its factorization.

658723968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 458 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 658723968 is about 25665.6184028361. The cubic root of 658723968 is about 870.0973018402.

The spelling of 658723968 in words is "six hundred fifty-eight million, seven hundred twenty-three thousand, nine hundred sixty-eight".