60829120 has 84 divisors (see below), whose sum is σ = 159315912. Its totient is φ = 22105600.

The previous prime is 60829091. The next prime is 60829129. The reversal of 60829120 is 2192806.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60829129) 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, 37935 + ... + 39505.

It is an arithmetic number, because the mean of its divisors is an integer number (1896618).

Almost surely, 2^60829120 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 60829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79657956).

60829120 is an abundant number, since it is smaller than the sum of its proper divisors (98486792).

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

60829120 is a wasteful number, since it uses less digits than its factorization.

60829120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 60829120 is about 7799.3025329192. The cubic root of 60829120 is about 393.2817960500.

The spelling of 60829120 in words is "sixty million, eight hundred twenty-nine thousand, one hundred twenty".