58720896 has 128 divisors (see below), whose sum is σ = 186782400. Its totient is φ = 18054144.

The previous prime is 58720889. The next prime is 58720919. The reversal of 58720896 is 69802785.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44275 + ... + 45581.

Almost surely, 2^58720896 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 58720896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93391200).

58720896 is an abundant number, since it is smaller than the sum of its proper divisors (128061504).

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

58720896 is a wasteful number, since it uses less digits than its factorization.

58720896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1325 counting only the distinct ones).

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

The square root of 58720896 is about 7662.9560875683. The cubic root of 58720896 is about 388.6848004992.

The spelling of 58720896 in words is "fifty-eight million, seven hundred twenty thousand, eight hundred ninety-six".