608141664 has 288 divisors, whose sum is σ = 2003339520. Its totient is φ = 173435904.

The previous prime is 608141641. The next prime is 608141701. The reversal of 608141664 is 466141806.

608141664 is a `hidden beast` number, since 608 + 1 + 41 + 6 + 6 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5904237 + ... + 5904339.

It is an arithmetic number, because the mean of its divisors is an integer number (6956040).

Almost surely, 2^608141664 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 608141664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001669760).

608141664 is an abundant number, since it is smaller than the sum of its proper divisors (1395197856).

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

608141664 is a wasteful number, since it uses less digits than its factorization.

608141664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 608141664 is about 24660.5284614908. The cubic root of 608141664 is about 847.2305082011.

The spelling of 608141664 in words is "six hundred eight million, one hundred forty-one thousand, six hundred sixty-four".