601678560 has 192 divisors, whose sum is σ = 2176602624. Its totient is φ = 136857600.

The previous prime is 601678549. The next prime is 601678577. The reversal of 601678560 is 65876106.

601678560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1111890 + ... + 1112430.

It is an arithmetic number, because the mean of its divisors is an integer number (11336472).

Almost surely, 2^601678560 is an apocalyptic number.

601678560 is a gapful number since it is divisible by the number (60) 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 601678560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088301312).

601678560 is an abundant number, since it is smaller than the sum of its proper divisors (1574924064).

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

601678560 is a wasteful number, since it uses less digits than its factorization.

601678560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 601678560 is about 24529.1369599503. The cubic root of 601678560 is about 844.2184620498.

The spelling of 601678560 in words is "six hundred one million, six hundred seventy-eight thousand, five hundred sixty".