60109920 has 288 divisors, whose sum is σ = 233906400. Its totient is φ = 14017536.

The previous prime is 60109913. The next prime is 60109957. The reversal of 60109920 is 2990106.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×60109920² = 7226404964812800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 3163671 + ... + 3163689.

It is an arithmetic number, because the mean of its divisors is an integer number (812175).

Almost surely, 2^60109920 is an apocalyptic number.

60109920 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 60109920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116953200).

60109920 is an abundant number, since it is smaller than the sum of its proper divisors (173796480).

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

60109920 is a wasteful number, since it uses less digits than its factorization.

60109920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 60109920 is about 7753.0587512284. The cubic root of 60109920 is about 391.7256861918.

The spelling of 60109920 in words is "sixty million, one hundred nine thousand, nine hundred twenty".