608664000 has 224 divisors, whose sum is σ = 2297558016. Its totient is φ = 139084800.

The previous prime is 608663989. The next prime is 608664061. The reversal of 608664000 is 466806.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166189 + ... + 169811.

Almost surely, 2^608664000 is an apocalyptic number.

608664000 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 608664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148779008).

608664000 is an abundant number, since it is smaller than the sum of its proper divisors (1688894016).

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

608664000 is a wasteful number, since it uses less digits than its factorization.

608664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 608664000 is about 24671.1167157062. The cubic root of 608664000 is about 847.4730023335.

It can be divided in two parts, 60 and 8664000, that multiplied together give a square (519840000 = 22800²).

The spelling of 608664000 in words is "six hundred eight million, six hundred sixty-four thousand".