36205890 has 64 divisors (see below), whose sum is σ = 101212416. Its totient is φ = 8116992.

The previous prime is 36205859. The next prime is 36205909. The reversal of 36205890 is 9850263.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9504 + ... + 12756.

It is an arithmetic number, because the mean of its divisors is an integer number (1581444).

Almost surely, 2^36205890 is an apocalyptic number.

36205890 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 36205890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50606208).

36205890 is an abundant number, since it is smaller than the sum of its proper divisors (65006526).

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

36205890 is a wasteful number, since it uses less digits than its factorization.

36205890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3323.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 36205890 is about 6017.1330382500. The cubic root of 36205890 is about 330.8210044042.

The spelling of 36205890 in words is "thirty-six million, two hundred five thousand, eight hundred ninety".