36558080 has 90 divisors (see below), whose sum is σ = 94865106. Its totient is φ = 13498368.

The previous prime is 36558073. The next prime is 36558121. The reversal of 36558080 is 8085563.

It can be written as a sum of positive squares in 5 ways, for example, as 32809984 + 3748096 = 5728^2 + 1936^2 .

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 36558080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2812154 + ... + 2812166.

Almost surely, 2^36558080 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 36558080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47432553).

36558080 is an abundant number, since it is smaller than the sum of its proper divisors (58307026).

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

36558080 is an frugal number, since it uses more digits than its factorization.

36558080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 36558080 is about 6046.3278111594. The cubic root of 36558080 is about 331.8902235407.

The spelling of 36558080 in words is "thirty-six million, five hundred fifty-eight thousand, eighty".