58979648 has 168 divisors, whose sum is σ = 156179520. Its totient is φ = 21565440.

The previous prime is 58979623. The next prime is 58979651. The reversal of 58979648 is 84697985.

It is a Harshad number since it is a multiple of its sum of digits (56).

Its product of digits (4354560) is a multiple of the sum of its prime factors (105).

It is a junction number, because it is equal to n+sod(n) for n = 58979593 and 58979602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1438508 + ... + 1438548.

It is an arithmetic number, because the mean of its divisors is an integer number (929640).

Almost surely, 2^58979648 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 58979648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78089760).

58979648 is an abundant number, since it is smaller than the sum of its proper divisors (97199872).

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

58979648 is a wasteful number, since it uses less digits than its factorization.

58979648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 56.

The square root of 58979648 is about 7679.8208312434. The cubic root of 58979648 is about 389.2548735789.

The spelling of 58979648 in words is "fifty-eight million, nine hundred seventy-nine thousand, six hundred forty-eight".