58253160 has 96 divisors (see below), whose sum is σ = 203312160. Its totient is φ = 13313664.

The previous prime is 58253159. The next prime is 58253161. The reversal of 58253160 is 6135285.

It is an interprime number because it is at equal distance from previous prime (58253159) and next prime (58253161).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (58253161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 927 + ... + 10833.

It is an arithmetic number, because the mean of its divisors is an integer number (2117835).

Almost surely, 2^58253160 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 58253160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101656080).

58253160 is an abundant number, since it is smaller than the sum of its proper divisors (145059000).

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

58253160 is a wasteful number, since it uses less digits than its factorization.

58253160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9935 (or 9924 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 58253160 is about 7632.3757769125. The cubic root of 58253160 is about 387.6500369393.

The spelling of 58253160 in words is "fifty-eight million, two hundred fifty-three thousand, one hundred sixty".