36290080 has 24 divisors (see below), whose sum is σ = 85735692. Its totient is φ = 14515968.

The previous prime is 36290077. The next prime is 36290083. The reversal of 36290080 is 8009263.

It is an interprime number because it is at equal distance from previous prime (36290077) and next prime (36290083).

It can be written as a sum of positive squares in 2 ways, for example, as 36048016 + 242064 = 6004^2 + 492^2 .

It is not an unprimeable number, because it can be changed into a prime (36290083) 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 3 ways as a sum of consecutive naturals, for example, 113247 + ... + 113566.

Almost surely, 2^36290080 is an apocalyptic number.

It is an amenable number.

36290080 is an abundant number, since it is smaller than the sum of its proper divisors (49445612).

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

36290080 is a wasteful number, since it uses less digits than its factorization.

36290080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226828 (or 226820 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 36290080 is about 6024.1248327039. The cubic root of 36290080 is about 331.0772266206.

The spelling of 36290080 in words is "thirty-six million, two hundred ninety thousand, eighty".