608048640 has 320 divisors, whose sum is σ = 2278425600. Its totient is φ = 153280512.

The previous prime is 608048629. The next prime is 608048647. The reversal of 608048640 is 46840806.

608048640 is a `hidden beast` number, since 6 + 0 + 8 + 0 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 608048595 and 608048604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (608048647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1313049 + ... + 1313511.

It is an arithmetic number, because the mean of its divisors is an integer number (7120080).

Almost surely, 2^608048640 is an apocalyptic number.

608048640 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 608048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139212800).

608048640 is an abundant number, since it is smaller than the sum of its proper divisors (1670376960).

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

608048640 is a wasteful number, since it uses less digits than its factorization.

608048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 608048640 is about 24658.6422983910. The cubic root of 608048640 is about 847.1873073077.

The spelling of 608048640 in words is "six hundred eight million, forty-eight thousand, six hundred forty".