58950096 has 80 divisors (see below), whose sum is σ = 158799360. Its totient is φ = 18823680.

The previous prime is 58950053. The next prime is 58950137. The reversal of 58950096 is 69005985.

It is a super-2 number, since 2×58950096² = 6950227636818432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257310 + ... + 257538.

It is an arithmetic number, because the mean of its divisors is an integer number (1984992).

Almost surely, 2^58950096 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 58950096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79399680).

58950096 is an abundant number, since it is smaller than the sum of its proper divisors (99849264).

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

58950096 is a wasteful number, since it uses less digits than its factorization.

58950096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 58950096 is about 7677.8965869566. The cubic root of 58950096 is about 389.1898501219.

The spelling of 58950096 in words is "fifty-eight million, nine hundred fifty thousand, ninety-six".