58258540 has 48 divisors (see below), whose sum is σ = 130818240. Its totient is φ = 21739520.

The previous prime is 58258531. The next prime is 58258549. The reversal of 58258540 is 4585285.

It is an interprime number because it is at equal distance from previous prime (58258531) and next prime (58258549).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 58258540.

It is not an unprimeable number, because it can be changed into a prime (58258549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17316 + ... + 20404.

It is an arithmetic number, because the mean of its divisors is an integer number (2725380).

Almost surely, 2^58258540 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 58258540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65409120).

58258540 is an abundant number, since it is smaller than the sum of its proper divisors (72559700).

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

58258540 is a wasteful number, since it uses less digits than its factorization.

58258540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 37.

The square root of 58258540 is about 7632.7282147342. The cubic root of 58258540 is about 387.6619704435.

It can be divided in two parts, 5825 and 8540, that added together give a triangular number (14365 = T₁₆₉).

The spelling of 58258540 in words is "fifty-eight million, two hundred fifty-eight thousand, five hundred forty".