608256000 has 480 divisors, whose sum is σ = 2453592960. Its totient is φ = 147456000.

The previous prime is 608255983. The next prime is 608256001. The reversal of 608256000 is 652806.

608256000 is a `hidden beast` number, since 608 + 2 + 56 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (608256001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55295995 + ... + 55296005.

It is an arithmetic number, because the mean of its divisors is an integer number (5111652).

Almost surely, 2^608256000 is an apocalyptic number.

608256000 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 608256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226796480).

608256000 is an abundant number, since it is smaller than the sum of its proper divisors (1845336960).

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

608256000 is an equidigital number, since it uses as much as digits as its factorization.

608256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 608256000 is about 24662.8465510370. The cubic root of 608256000 is about 847.2836004783.

The spelling of 608256000 in words is "six hundred eight million, two hundred fifty-six thousand".