601968640 has 416 divisors, whose sum is σ = 1981566720. Its totient is φ = 169869312.

The previous prime is 601968637. The next prime is 601968667. The reversal of 601968640 is 46869106.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 601968593 and 601968602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31682551 + ... + 31682569.

Almost surely, 2^601968640 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 601968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990783360).

601968640 is an abundant number, since it is smaller than the sum of its proper divisors (1379598080).

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

601968640 is a wasteful number, since it uses less digits than its factorization.

601968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 601968640 is about 24535.0492153572. The cubic root of 601968640 is about 844.3541111948.

The spelling of 601968640 in words is "six hundred one million, nine hundred sixty-eight thousand, six hundred forty".