60641728 has 56 divisors (see below), whose sum is σ = 138371072. Its totient is φ = 25830144.

The previous prime is 60641717. The next prime is 60641729. The reversal of 60641728 is 82714606.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 60641693 and 60641702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60641729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99601 + ... + 100207.

It is an arithmetic number, because the mean of its divisors is an integer number (2470912).

Almost surely, 2^60641728 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 60641728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69185536).

60641728 is an abundant number, since it is smaller than the sum of its proper divisors (77729344).

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

60641728 is a wasteful number, since it uses less digits than its factorization.

60641728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 60641728 is about 7787.2798845296. The cubic root of 60641728 is about 392.8775287587.

The spelling of 60641728 in words is "sixty million, six hundred forty-one thousand, seven hundred twenty-eight".