36058880 has 144 divisors (see below), whose sum is σ = 101987424. Its totient is φ = 12042240.

The previous prime is 36058879. The next prime is 36058889. The reversal of 36058880 is 8885063.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36058889) 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, 182942 + ... + 183138.

It is an arithmetic number, because the mean of its divisors is an integer number (708246).

Almost surely, 2^36058880 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 36058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50993712).

36058880 is an abundant number, since it is smaller than the sum of its proper divisors (65928544).

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

36058880 is a wasteful number, since it uses less digits than its factorization.

36058880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 36058880 is about 6004.9046620242. The cubic root of 36058880 is about 330.3726430183.

The spelling of 36058880 in words is "thirty-six million, fifty-eight thousand, eight hundred eighty".