58003920 has 120 divisors (see below), whose sum is σ = 209814696. Its totient is φ = 14275584.

The previous prime is 58003919. The next prime is 58003921. The reversal of 58003920 is 2930085.

It is an interprime number because it is at equal distance from previous prime (58003919) and next prime (58003921).

It can be written as a sum of positive squares in 4 ways, for example, as 304704 + 57699216 = 552^2 + 7596^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58003921) 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, 6262 + ... + 12458.

Almost surely, 2^58003920 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 58003920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104907348).

58003920 is an abundant number, since it is smaller than the sum of its proper divisors (151810776).

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

58003920 is a wasteful number, since it uses less digits than its factorization.

58003920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6229 (or 6220 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 58003920 is about 7616.0304621240. The cubic root of 58003920 is about 387.0963844620.

The spelling of 58003920 in words is "fifty-eight million, three thousand, nine hundred twenty".