601101648 has 200 divisors, whose sum is σ = 2005014528. Its totient is φ = 170304768.

The previous prime is 601101643. The next prime is 601101649. The reversal of 601101648 is 846101106.

601101648 is a `hidden beast` number, since 6 + 0 + 1 + 10 + 1 + 648 = 666.

It is a super-2 number, since 2×601101648² = 722646382456631808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601101643) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1569265 + ... + 1569647.

Almost surely, 2^601101648 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 601101648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002507264).

601101648 is an abundant number, since it is smaller than the sum of its proper divisors (1403912880).

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

601101648 is a wasteful number, since it uses less digits than its factorization.

601101648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 601101648 is about 24517.3744108132. The cubic root of 601101648 is about 843.9485529761.

The spelling of 601101648 in words is "six hundred one million, one hundred one thousand, six hundred forty-eight".