58968480 has 96 divisors (see below), whose sum is σ = 190137024. Its totient is φ = 15353856.

The previous prime is 58968473. The next prime is 58968487. The reversal of 58968480 is 8486985.

It is an interprime number because it is at equal distance from previous prime (58968473) and next prime (58968487).

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (58968487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19212 + ... + 22068.

It is an arithmetic number, because the mean of its divisors is an integer number (1980594).

Almost surely, 2^58968480 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 58968480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95068512).

58968480 is an abundant number, since it is smaller than the sum of its proper divisors (131168544).

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

58968480 is a wasteful number, since it uses less digits than its factorization.

58968480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 58968480 is about 7679.0936965243. The cubic root of 58968480 is about 389.2303031099.

The spelling of 58968480 in words is "fifty-eight million, nine hundred sixty-eight thousand, four hundred eighty".