601648128 has 176 divisors, whose sum is σ = 1823631360. Its totient is φ = 195858432.

The previous prime is 601648109. The next prime is 601648133. The reversal of 601648128 is 821846106.

601648128 is a `hidden beast` number, since 6 + 0 + 1 + 648 + 1 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 601648092 and 601648101.

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, 1299225 + ... + 1299687.

Almost surely, 2^601648128 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 601648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911815680).

601648128 is an abundant number, since it is smaller than the sum of its proper divisors (1221983232).

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

601648128 is a wasteful number, since it uses less digits than its factorization.

601648128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 601648128 is about 24528.5166286101. The cubic root of 601648128 is about 844.2042287083.

The spelling of 601648128 in words is "six hundred one million, six hundred forty-eight thousand, one hundred twenty-eight".