608238408960 has 3024 divisors, whose sum is σ = 2943639619200. Its totient is φ = 117385003008.

The previous prime is 608238408959. The next prime is 608238409001. The reversal of 608238408960 is 69804832806.

608238408960 is a `hidden beast` number, since 608 + 23 + 8 + 4 + 0 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 608238408897 and 608238408906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 20973738226 + ... + 20973738254.

It is an arithmetic number, because the mean of its divisors is an integer number (973425800).

Almost surely, 2^608238408960 is an apocalyptic number.

608238408960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 608238408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471819809600).

608238408960 is an abundant number, since it is smaller than the sum of its proper divisors (2335401210240).

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

608238408960 is a wasteful number, since it uses less digits than its factorization.

608238408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 608238408960 in words is "six hundred eight billion, two hundred thirty-eight million, four hundred eight thousand, nine hundred sixty".