58436820 has 216 divisors, whose sum is σ = 205031736. Its totient is φ = 13418496.

The previous prime is 58436789. The next prime is 58436857. The reversal of 58436820 is 2863485.

It can be written as a sum of positive squares in 12 ways, for example, as 43086096 + 15350724 = 6564^2 + 3918^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its 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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 517084 + ... + 517196.

It is an arithmetic number, because the mean of its divisors is an integer number (949221).

Almost surely, 2^58436820 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 58436820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102515868).

58436820 is an abundant number, since it is smaller than the sum of its proper divisors (146594916).

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

58436820 is a wasteful number, since it uses less digits than its factorization.

58436820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

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

The square root of 58436820 is about 7644.3979488250. The cubic root of 58436820 is about 388.0570026429.

The spelling of 58436820 in words is "fifty-eight million, four hundred thirty-six thousand, eight hundred twenty".