58960000 has 160 divisors (see below), whose sum is σ = 162510480. Its totient is φ = 21120000.

The previous prime is 58959973. The next prime is 58960001. The reversal of 58960000 is 6985.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (58960001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 879967 + ... + 880033.

Almost surely, 2^58960000 is an apocalyptic number.

58960000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81255240).

58960000 is an abundant number, since it is smaller than the sum of its proper divisors (103550480).

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

58960000 is an equidigital number, since it uses as much as digits as its factorization.

58960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 58960000 is about 7678.5415281810. The cubic root of 58960000 is about 389.2116443778.

Adding to 58960000 its reverse (6985), we get a palindrome (58966985).

The spelling of 58960000 in words is "fifty-eight million, nine hundred sixty thousand".