36808590 has 128 divisors (see below), whose sum is σ = 110638080. Its totient is φ = 7630848.

The previous prime is 36808589. The next prime is 36808609. The reversal of 36808590 is 9580863.

36808590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 264741 + ... + 264879.

It is an arithmetic number, because the mean of its divisors is an integer number (864360).

Almost surely, 2^36808590 is an apocalyptic number.

36808590 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 36808590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55319040).

36808590 is an abundant number, since it is smaller than the sum of its proper divisors (73829490).

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

36808590 is a wasteful number, since it uses less digits than its factorization.

36808590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266.

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 36808590 is about 6067.0083237128. The cubic root of 36808590 is about 332.6465782965.

The spelling of 36808590 in words is "thirty-six million, eight hundred eight thousand, five hundred ninety".