58405696 has 56 divisors (see below), whose sum is σ = 124947680. Its totient is φ = 26998272.

The previous prime is 58405691. The next prime is 58405723. The reversal of 58405696 is 69650485.

58405696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×58405696² = 6822450650488832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58405691) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 51730 + ... + 52846.

Almost surely, 2^58405696 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 58405696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62473840).

58405696 is an abundant number, since it is smaller than the sum of its proper divisors (66541984).

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

58405696 is a wasteful number, since it uses less digits than its factorization.

58405696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The square root of 58405696 is about 7642.3619385632. The cubic root of 58405696 is about 387.9880961381.

The spelling of 58405696 in words is "fifty-eight million, four hundred five thousand, six hundred ninety-six".