58279680 has 108 divisors (see below), whose sum is σ = 201681480. Its totient is φ = 15538176.

The previous prime is 58279679. The next prime is 58279687. The reversal of 58279680 is 8697285.

58279680 is a `hidden beast` number, since 582 + 7 + 9 + 68 + 0 = 666.

It is a super-2 number, since 2×58279680² = 6793042201804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58279687) 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 11 ways as a sum of consecutive naturals, for example, 8991 + ... + 14049.

Almost surely, 2^58279680 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 58279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100840740).

58279680 is an abundant number, since it is smaller than the sum of its proper divisors (143401800).

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

58279680 is a wasteful number, since it uses less digits than its factorization.

58279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 58279680 is about 7634.1129150675. The cubic root of 58279680 is about 387.7088544598.

The spelling of 58279680 in words is "fifty-eight million, two hundred seventy-nine thousand, six hundred eighty".