59408112 has 80 divisors (see below), whose sum is σ = 159096960. Its totient is φ = 19090176.

The previous prime is 59408101. The next prime is 59408113. The reversal of 59408112 is 21180495.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 59408112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59408113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220714 + ... + 220982.

It is an arithmetic number, because the mean of its divisors is an integer number (1988712).

Almost surely, 2^59408112 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 59408112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79548480).

59408112 is an abundant number, since it is smaller than the sum of its proper divisors (99688848).

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

59408112 is a wasteful number, since it uses less digits than its factorization.

59408112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 59408112 is about 7707.6657945191. The cubic root of 59408112 is about 390.1951948594.

The spelling of 59408112 in words is "fifty-nine million, four hundred eight thousand, one hundred twelve".