60768000 has 216 divisors, whose sum is σ = 219697296. Its totient is φ = 16128000.

The previous prime is 60767981. The next prime is 60768007. The reversal of 60768000 is 86706.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60768007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287895 + ... + 288105.

Almost surely, 2^60768000 is an apocalyptic number.

60768000 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 60768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109848648).

60768000 is an abundant number, since it is smaller than the sum of its proper divisors (158929296).

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

60768000 is a wasteful number, since it uses less digits than its factorization.

60768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 221 counting only the distinct ones).

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

The square root of 60768000 is about 7795.3832490776. The cubic root of 60768000 is about 393.1500310958.

The spelling of 60768000 in words is "sixty million, seven hundred sixty-eight thousand".