60768576 has 224 divisors, whose sum is σ = 204825600. Its totient is φ = 17487360.

The previous prime is 60768551. The next prime is 60768623. The reversal of 60768576 is 67586706.

60768576 is a `hidden beast` number, since 6 + 0 + 76 + 8 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437115 + ... + 437253.

It is an arithmetic number, because the mean of its divisors is an integer number (914400).

Almost surely, 2^60768576 is an apocalyptic number.

60768576 is a gapful number since it is divisible by the number (66) 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 60768576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102412800).

60768576 is an abundant number, since it is smaller than the sum of its proper divisors (144057024).

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

60768576 is a wasteful number, since it uses less digits than its factorization.

60768576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 60768576 is about 7795.4201939344. The cubic root of 60768576 is about 393.1512732720.

The spelling of 60768576 in words is "sixty million, seven hundred sixty-eight thousand, five hundred seventy-six".