668058552 has 144 divisors (see below), whose sum is σ = 2196501840. Its totient is φ = 182552832.

The previous prime is 668058539. The next prime is 668058581. The reversal of 668058552 is 255850866.

668058552 is a `hidden beast` number, since 6 + 68 + 0 + 585 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 668058498 and 668058507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77028 + ... + 85260.

It is an arithmetic number, because the mean of its divisors is an integer number (15253485).

Almost surely, 2^668058552 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 668058552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098250920).

668058552 is an abundant number, since it is smaller than the sum of its proper divisors (1528443288).

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

668058552 is a wasteful number, since it uses less digits than its factorization.

668058552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8282 (or 8268 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The square root of 668058552 is about 25846.8286642675. The cubic root of 668058552 is about 874.1880040379.

It can be divided in two parts, 66805 and 8552, that added together give a palindrome (75357).

The spelling of 668058552 in words is "six hundred sixty-eight million, fifty-eight thousand, five hundred fifty-two".