58978920 has 256 divisors, whose sum is σ = 238049280. Its totient is φ = 11289600.

The previous prime is 58978891. The next prime is 58978949. The reversal of 58978920 is 2987985.

It is a happy number.

58978920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (58978891) and next prime (58978949).

It is a self number, because there is not a number n which added to its sum of digits gives 58978920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119875 + ... + 120365.

It is an arithmetic number, because the mean of its divisors is an integer number (929880).

Almost surely, 2^58978920 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 58978920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119024640).

58978920 is an abundant number, since it is smaller than the sum of its proper divisors (179070360).

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

58978920 is a wasteful number, since it uses less digits than its factorization.

58978920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 58978920 is about 7679.7734341581. The cubic root of 58978920 is about 389.2532720167.

The spelling of 58978920 in words is "fifty-eight million, nine hundred seventy-eight thousand, nine hundred twenty".