58959488 has 64 divisors (see below), whose sum is σ = 140123520. Its totient is φ = 24161280.

The previous prime is 58959487. The next prime is 58959529. The reversal of 58959488 is 88495985.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (58959487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19178 + ... + 22038.

It is an arithmetic number, because the mean of its divisors is an integer number (2189430).

Almost surely, 2^58959488 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 58959488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70061760).

58959488 is an abundant number, since it is smaller than the sum of its proper divisors (81164032).

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

58959488 is a wasteful number, since it uses less digits than its factorization.

58959488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2893 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 56.

The square root of 58959488 is about 7678.5081884439. The cubic root of 58959488 is about 389.2105177556.

The spelling of 58959488 in words is "fifty-eight million, nine hundred fifty-nine thousand, four hundred eighty-eight".