60739920 has 120 divisors (see below), whose sum is σ = 211091400. Its totient is φ = 15633408.

The previous prime is 60739907. The next prime is 60739927. The reversal of 60739920 is 2993706.

60739920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16064064 + 44675856 = 4008^2 + 6684^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-4 number, since 4×60739920⁴ (a number of 32 digits) contains 4444 as substring.

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 (60739927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19426 + ... + 22334.

It is an arithmetic number, because the mean of its divisors is an integer number (1759095).

Almost surely, 2^60739920 is an apocalyptic number.

60739920 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 60739920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105545700).

60739920 is an abundant number, since it is smaller than the sum of its proper divisors (150351480).

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

60739920 is a wasteful number, since it uses less digits than its factorization.

60739920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 60739920 is about 7793.5819749330. The cubic root of 60739920 is about 393.0894654816.

The spelling of 60739920 in words is "sixty million, seven hundred thirty-nine thousand, nine hundred twenty".