58240368 has 120 divisors (see below), whose sum is σ = 177519888. Its totient is φ = 17750016.

The previous prime is 58240367. The next prime is 58240387. The reversal of 58240368 is 86304285.

58240368 is a `hidden beast` number, since 58 + 240 + 368 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58240363) 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, 90255 + ... + 90897.

Almost surely, 2^58240368 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 58240368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88759944).

58240368 is an abundant number, since it is smaller than the sum of its proper divisors (119279520).

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

58240368 is a wasteful number, since it uses less digits than its factorization.

58240368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 58240368 is about 7631.5377218487. The cubic root of 58240368 is about 387.6216597531.

The spelling of 58240368 in words is "fifty-eight million, two hundred forty thousand, three hundred sixty-eight".