658056672 has 432 divisors, whose sum is σ = 2493992592. Its totient is φ = 162570240.

The previous prime is 658056667. The next prime is 658056673. The reversal of 658056672 is 276650856.

658056672 is a `hidden beast` number, since 6 + 5 + 80 + 566 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (658056673) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3118647 + ... + 3118857.

It is an arithmetic number, because the mean of its divisors is an integer number (5773131).

Almost surely, 2^658056672 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 658056672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246996296).

658056672 is an abundant number, since it is smaller than the sum of its proper divisors (1835935920).

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

658056672 is a wasteful number, since it uses less digits than its factorization.

658056672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 658056672 is about 25652.6153052666. The cubic root of 658056672 is about 869.8033959232.

The spelling of 658056672 in words is "six hundred fifty-eight million, fifty-six thousand, six hundred seventy-two".