58696 has 32 divisors (see below), whose sum is σ = 129600. Its totient is φ = 24640.

The previous prime is 58693. The next prime is 58699. The reversal of 58696 is 69685.

It is an interprime number because it is at equal distance from previous prime (58693) and next prime (58699).

It is not an unprimeable number, because it can be changed into a prime (58693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2010 + ... + 2038.

It is an arithmetic number, because the mean of its divisors is an integer number (4050).

2⁵⁸⁶⁹⁶ is an apocalyptic number.

58696 is the 130-th centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64800).

58696 is an abundant number, since it is smaller than the sum of its proper divisors (70904).

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

58696 is a wasteful number, since it uses less digits than its factorization.

58696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 65 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

The square root of 58696 is about 242.2725737676. The cubic root of 58696 is about 38.8629862278.

The spelling of 58696 in words is "fifty-eight thousand, six hundred ninety-six".