658041216 has 256 divisors, whose sum is σ = 2115072000. Its totient is φ = 177315840.

The previous prime is 658041211. The next prime is 658041227. The reversal of 658041216 is 612140856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (658041211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4416310 + ... + 4416458.

It is an arithmetic number, because the mean of its divisors is an integer number (8262000).

Almost surely, 2^658041216 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 658041216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057536000).

658041216 is an abundant number, since it is smaller than the sum of its proper divisors (1457030784).

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

658041216 is a wasteful number, since it uses less digits than its factorization.

658041216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 658041216 is about 25652.3140476644. The cubic root of 658041216 is about 869.7965860809.

The spelling of 658041216 in words is "six hundred fifty-eight million, forty-one thousand, two hundred sixteen".