60000768 has 120 divisors (see below), whose sum is σ = 179536500. Its totient is φ = 19267584.

The previous prime is 60000761. The next prime is 60000793. The reversal of 60000768 is 86700006.

It can be written as a sum of positive squares in 2 ways, for example, as 59721984 + 278784 = 7728^2 + 528^2 .

It is not an unprimeable number, because it can be changed into a prime (60000761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133408 + ... + 133856.

Almost surely, 2^60000768 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 60000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89768250).

60000768 is an abundant number, since it is smaller than the sum of its proper divisors (119535732).

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

60000768 is a wasteful number, since it uses less digits than its factorization.

60000768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 60000768 is about 7746.0162664430. The cubic root of 60000768 is about 391.4884344533.

The spelling of 60000768 in words is "sixty million, seven hundred sixty-eight", and thus it is an aban number.