60432768 has 192 divisors, whose sum is σ = 200491200. Its totient is φ = 17280000.

The previous prime is 60432719. The next prime is 60432769. The reversal of 60432768 is 86723406.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60432769) 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, 240643 + ... + 240893.

It is an arithmetic number, because the mean of its divisors is an integer number (1044225).

Almost surely, 2^60432768 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 60432768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100245600).

60432768 is an abundant number, since it is smaller than the sum of its proper divisors (140058432).

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

60432768 is a wasteful number, since it uses less digits than its factorization.

60432768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 60432768 is about 7773.8515550530. The cubic root of 60432768 is about 392.4257487304.

The spelling of 60432768 in words is "sixty million, four hundred thirty-two thousand, seven hundred sixty-eight".