58408960 has 120 divisors (see below), whose sum is σ = 150990336. Its totient is φ = 21626880.

The previous prime is 58408949. The next prime is 58408967. The reversal of 58408960 is 6980485.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58408967) 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, 1884145 + ... + 1884175.

Almost surely, 2^58408960 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 58408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75495168).

58408960 is an abundant number, since it is smaller than the sum of its proper divisors (92581376).

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

58408960 is an equidigital number, since it uses as much as digits as its factorization.

58408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 58408960 is about 7642.5754821264. The cubic root of 58408960 is about 387.9953235700.

The spelling of 58408960 in words is "fifty-eight million, four hundred eight thousand, nine hundred sixty".