58029696 has 160 divisors (see below), whose sum is σ = 179576100. Its totient is φ = 18579456.

The previous prime is 58029683. The next prime is 58029707. The reversal of 58029696 is 69692085.

58029696 is a `hidden beast` number, since 580 + 2 + 9 + 69 + 6 = 666.

58029696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 57153600 + 876096 = 7560^2 + 936^2 .

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 19 ways as a sum of consecutive naturals, for example, 300576 + ... + 300768.

Almost surely, 2^58029696 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 58029696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89788050).

58029696 is an abundant number, since it is smaller than the sum of its proper divisors (121546404).

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

58029696 is a wasteful number, since it uses less digits than its factorization.

58029696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 58029696 is about 7617.7224942892. The cubic root of 58029696 is about 387.1537157526.

It can be divided in two parts, 580 and 29696, that added together give a square (30276 = 174²).

The spelling of 58029696 in words is "fifty-eight million, twenty-nine thousand, six hundred ninety-six".