36036090 has 80 divisors (see below), whose sum is σ = 102636072. Its totient is φ = 9040896.

The previous prime is 36036071. The next prime is 36036137. The reversal of 36036090 is 9063063.

It can be written as a sum of positive squares in 4 ways, for example, as 36036009 + 81 = 6003^2 + 9^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12462 + ... + 15078.

Almost surely, 2^36036090 is an apocalyptic number.

36036090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36036090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51318036).

36036090 is an abundant number, since it is smaller than the sum of its proper divisors (66599982).

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

36036090 is a wasteful number, since it uses less digits than its factorization.

36036090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 36036090 is about 6003.0067466229. The cubic root of 36036090 is about 330.3030274405.

The spelling of 36036090 in words is "thirty-six million, thirty-six thousand, ninety".