59985024 has 96 divisors (see below), whose sum is σ = 175272720. Its totient is φ = 18163200.

The previous prime is 59985017. The next prime is 59985059. The reversal of 59985024 is 42058995.

It is a Cunningham number, because it is equal to 7745²-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45819 + ... + 47109.

Almost surely, 2^59985024 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 59985024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87636360).

59985024 is an abundant number, since it is smaller than the sum of its proper divisors (115287696).

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

59985024 is a wasteful number, since it uses less digits than its factorization.

59985024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 59985024 is about 7744.9999354422. Note that the first 4 decimals coincide. The cubic root of 59985024 is about 391.4541897078.

The spelling of 59985024 in words is "fifty-nine million, nine hundred eighty-five thousand, twenty-four".