36505080 has 160 divisors (see below), whose sum is σ = 129373200. Its totient is φ = 9206784.

The previous prime is 36505043. The next prime is 36505087. The reversal of 36505080 is 8050563.

36505080 is a `hidden beast` number, since 3 + 650 + 5 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36505087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61264 + ... + 61856.

Almost surely, 2^36505080 is an apocalyptic number.

36505080 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 36505080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64686600).

36505080 is an abundant number, since it is smaller than the sum of its proper divisors (92868120).

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

36505080 is a wasteful number, since it uses less digits than its factorization.

36505080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 36505080 is about 6041.9433959613. The cubic root of 36505080 is about 331.7297602529.

The spelling of 36505080 in words is "thirty-six million, five hundred five thousand, eighty".