59666112 has 224 divisors, whose sum is σ = 198485760. Its totient is φ = 17418240.

The previous prime is 59666063. The next prime is 59666119. The reversal of 59666112 is 21166695.

59666112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (59666119) 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 31 ways as a sum of consecutive naturals, for example, 817308 + ... + 817380.

Almost surely, 2^59666112 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 59666112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99242880).

59666112 is an abundant number, since it is smaller than the sum of its proper divisors (138819648).

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

59666112 is a wasteful number, since it uses less digits than its factorization.

59666112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 59666112 is about 7724.3842473041. The cubic root of 59666112 is about 390.7592310698.

The spelling of 59666112 in words is "fifty-nine million, six hundred sixty-six thousand, one hundred twelve".