58834496 has 84 divisors (see below), whose sum is σ = 138206988. Its totient is φ = 24772608.

The previous prime is 58834493. The next prime is 58834519. The reversal of 58834496 is 69443885.

It can be written as a sum of positive squares in 2 ways, for example, as 49000000 + 9834496 = 7000^2 + 3136^2 .

It is a super-2 number, since 2×58834496² = 6922995839148032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 58834496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58834493) 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, 228800 + ... + 229056.

Almost surely, 2^58834496 is an apocalyptic number.

58834496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58834496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69103494).

58834496 is an abundant number, since it is smaller than the sum of its proper divisors (79372492).

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

58834496 is a wasteful number, since it uses less digits than its factorization.

58834496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 339 counting only the distinct ones).

The product of its digits is 829440, while the sum is 47.

The square root of 58834496 is about 7670.3647892392. The cubic root of 58834496 is about 388.9352857236.

The spelling of 58834496 in words is "fifty-eight million, eight hundred thirty-four thousand, four hundred ninety-six".