668547072 has 288 divisors, whose sum is σ = 2146435200. Its totient is φ = 199507968.

The previous prime is 668547013. The next prime is 668547097. The reversal of 668547072 is 270745866.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8054743 + ... + 8054825.

It is an arithmetic number, because the mean of its divisors is an integer number (7452900).

Almost surely, 2^668547072 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 668547072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073217600).

668547072 is an abundant number, since it is smaller than the sum of its proper divisors (1477888128).

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

668547072 is a wasteful number, since it uses less digits than its factorization.

668547072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 668547072 is about 25856.2772262366. The cubic root of 668547072 is about 874.4010363980.

The spelling of 668547072 in words is "six hundred sixty-eight million, five hundred forty-seven thousand, seventy-two".