59138080 has 48 divisors (see below), whose sum is σ = 144232704. Its totient is φ = 22890240.

The previous prime is 59138069. The next prime is 59138117. The reversal of 59138080 is 8083195.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1002 + ... + 10921.

It is an arithmetic number, because the mean of its divisors is an integer number (3004848).

Almost surely, 2^59138080 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 59138080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72116352).

59138080 is an abundant number, since it is smaller than the sum of its proper divisors (85094624).

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

59138080 is a wasteful number, since it uses less digits than its factorization.

59138080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11969 (or 11961 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 59138080 is about 7690.1287375440. The cubic root of 59138080 is about 389.6031026855.

The spelling of 59138080 in words is "fifty-nine million, one hundred thirty-eight thousand, eighty".