36058020 has 192 divisors, whose sum is σ = 117573120. Its totient is φ = 8200192.

The previous prime is 36058019. The next prime is 36058021. The reversal of 36058020 is 2085063.

It is an interprime number because it is at equal distance from previous prime (36058019) and next prime (36058021).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36058021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 680314 + ... + 680366.

It is an arithmetic number, because the mean of its divisors is an integer number (612360).

Almost surely, 2^36058020 is an apocalyptic number.

36058020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36058020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58786560).

36058020 is an abundant number, since it is smaller than the sum of its proper divisors (81515100).

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

36058020 is a wasteful number, since it uses less digits than its factorization.

36058020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 36058020 is about 6004.8330534662. The cubic root of 36058020 is about 330.3700165480.

The spelling of 36058020 in words is "thirty-six million, fifty-eight thousand, twenty".