603648864 has 288 divisors, whose sum is σ = 2183860224. Its totient is φ = 153861120.

The previous prime is 603648817. The next prime is 603648911. The reversal of 603648864 is 468846306.

It is an interprime number because it is at equal distance from previous prime (603648817) and next prime (603648911).

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812077 + ... + 812819.

It is an arithmetic number, because the mean of its divisors is an integer number (7582848).

Almost surely, 2^603648864 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 603648864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091930112).

603648864 is an abundant number, since it is smaller than the sum of its proper divisors (1580211360).

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

603648864 is a wasteful number, since it uses less digits than its factorization.

603648864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 603648864 is about 24569.2666557226. The cubic root of 603648864 is about 845.1389727427.

The spelling of 603648864 in words is "six hundred three million, six hundred forty-eight thousand, eight hundred sixty-four".