658982016 has 768 divisors, whose sum is σ = 2749593600. Its totient is φ = 145981440.

The previous prime is 658982011. The next prime is 658982021. The reversal of 658982016 is 610289856.

It is an interprime number because it is at equal distance from previous prime (658982011) and next prime (658982021).

It is a super-2 number, since 2×658982016² = 868514594822848512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (658982011) 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 95 ways as a sum of consecutive naturals, for example, 28651381 + ... + 28651403.

It is an arithmetic number, because the mean of its divisors is an integer number (3580200).

Almost surely, 2^658982016 is an apocalyptic number.

658982016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 658982016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374796800).

658982016 is an abundant number, since it is smaller than the sum of its proper divisors (2090611584).

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

658982016 is a wasteful number, since it uses less digits than its factorization.

658982016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 658982016 is about 25670.6450250086. The cubic root of 658982016 is about 870.2109040809.

The spelling of 658982016 in words is "six hundred fifty-eight million, nine hundred eighty-two thousand, sixteen".