58374240 has 96 divisors (see below), whose sum is σ = 189858816. Its totient is φ = 15060480.

The previous prime is 58374233. The next prime is 58374241. The reversal of 58374240 is 4247385.

58374240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58374241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12919 + ... + 16841.

It is an arithmetic number, because the mean of its divisors is an integer number (1977696).

Almost surely, 2^58374240 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 58374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94929408).

58374240 is an abundant number, since it is smaller than the sum of its proper divisors (131484576).

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

58374240 is a wasteful number, since it uses less digits than its factorization.

58374240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 58374240 is about 7640.3036588869. The cubic root of 58374240 is about 387.9184297296.

The spelling of 58374240 in words is "fifty-eight million, three hundred seventy-four thousand, two hundred forty".