601668864 has 144 divisors (see below), whose sum is σ = 1809675840. Its totient is φ = 197130240.

The previous prime is 601668833. The next prime is 601668869. The reversal of 601668864 is 468866106.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601668869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420919 + ... + 422345.

Almost surely, 2^601668864 is an apocalyptic number.

601668864 is a gapful number since it is divisible by the number (64) 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 601668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904837920).

601668864 is an abundant number, since it is smaller than the sum of its proper divisors (1208006976).

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

601668864 is a wasteful number, since it uses less digits than its factorization.

601668864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 601668864 is about 24528.9393166521. The cubic root of 601668864 is about 844.2139271887.

The spelling of 601668864 in words is "six hundred one million, six hundred sixty-eight thousand, eight hundred sixty-four".