58742820 has 192 divisors, whose sum is σ = 198374400. Its totient is φ = 14556672.

The previous prime is 58742771. The next prime is 58742867. The reversal of 58742820 is 2824785.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 743541 + ... + 743619.

It is an arithmetic number, because the mean of its divisors is an integer number (1033200).

Almost surely, 2^58742820 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 58742820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99187200).

58742820 is an abundant number, since it is smaller than the sum of its proper divisors (139631580).

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

58742820 is a wasteful number, since it uses less digits than its factorization.

58742820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 58742820 is about 7664.3864725104. The cubic root of 58742820 is about 388.7331675249.

The spelling of 58742820 in words is "fifty-eight million, seven hundred forty-two thousand, eight hundred twenty".