60729600 has 108 divisors (see below), whose sum is σ = 200483696. Its totient is φ = 16189440.

The previous prime is 60729577. The next prime is 60729601. The reversal of 60729600 is 692706.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (60729601) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 17619 + ... + 20781.

Almost surely, 2^60729600 is an apocalyptic number.

60729600 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 60729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100241848).

60729600 is an abundant number, since it is smaller than the sum of its proper divisors (139754096).

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

60729600 is a wasteful number, since it uses less digits than its factorization.

60729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 60729600 is about 7792.9198635685. The cubic root of 60729600 is about 393.0672016335.

The spelling of 60729600 in words is "sixty million, seven hundred twenty-nine thousand, six hundred".