58938040 has 64 divisors (see below), whose sum is σ = 155678400. Its totient is φ = 19657728.

The previous prime is 58938013. The next prime is 58938041. The reversal of 58938040 is 4083985.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58938041) 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, 7516 + ... + 13204.

It is an arithmetic number, because the mean of its divisors is an integer number (2432475).

Almost surely, 2^58938040 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 58938040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77839200).

58938040 is an abundant number, since it is smaller than the sum of its proper divisors (96740360).

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

58938040 is a wasteful number, since it uses less digits than its factorization.

58938040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5744 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 58938040 is about 7677.1114359504. Note that the first 3 decimals coincide. The cubic root of 58938040 is about 389.1633169860.

The spelling of 58938040 in words is "fifty-eight million, nine hundred thirty-eight thousand, forty".