601257648 has 80 divisors (see below), whose sum is σ = 1640815616. Its totient is φ = 189423360.

The previous prime is 601257637. The next prime is 601257653. The reversal of 601257648 is 846752106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59286 + ... + 68682.

Almost surely, 2^601257648 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 601257648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820407808).

601257648 is an abundant number, since it is smaller than the sum of its proper divisors (1039557968).

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

601257648 is a wasteful number, since it uses less digits than its factorization.

601257648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9482 (or 9476 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 601257648 is about 24520.5556217635. Note that the first 3 decimals coincide. The cubic root of 601257648 is about 844.0215548204.

The spelling of 601257648 in words is "six hundred one million, two hundred fifty-seven thousand, six hundred forty-eight".