59941680 has 80 divisors (see below), whose sum is σ = 193916160. Its totient is φ = 15288064.

The previous prime is 59941669. The next prime is 59941681. The reversal of 59941680 is 8614995.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (59941681) 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 15 ways as a sum of consecutive naturals, for example, 91 + ... + 10949.

It is an arithmetic number, because the mean of its divisors is an integer number (2423952).

Almost surely, 2^59941680 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 59941680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96958080).

59941680 is an abundant number, since it is smaller than the sum of its proper divisors (133974480).

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

59941680 is a wasteful number, since it uses less digits than its factorization.

59941680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10898 (or 10892 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 59941680 is about 7742.2012373743. The cubic root of 59941680 is about 391.3598812864.

The spelling of 59941680 in words is "fifty-nine million, nine hundred forty-one thousand, six hundred eighty".