58980096 has 288 divisors, whose sum is σ = 211921920. Its totient is φ = 15814656.

The previous prime is 58980091. The next prime is 58980101. The reversal of 58980096 is 69008985.

It is an interprime number because it is at equal distance from previous prime (58980091) and next prime (58980101).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58980091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1112806 + ... + 1112858.

It is an arithmetic number, because the mean of its divisors is an integer number (735840).

Almost surely, 2^58980096 is an apocalyptic number.

58980096 is a gapful number since it is divisible by the number (56) 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 58980096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105960960).

58980096 is an abundant number, since it is smaller than the sum of its proper divisors (152941824).

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

58980096 is a wasteful number, since it uses less digits than its factorization.

58980096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 58980096 is about 7679.8499985351. The cubic root of 58980096 is about 389.2558591490.

The spelling of 58980096 in words is "fifty-eight million, nine hundred eighty thousand, ninety-six".