36581820 has 96 divisors (see below), whose sum is σ = 114428160. Its totient is φ = 8655360.

The previous prime is 36581771. The next prime is 36581837. The reversal of 36581820 is 2818563.

It is a happy number.

36581820 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 (33).

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 31 ways as a sum of consecutive naturals, for example, 27736 + ... + 29024.

It is an arithmetic number, because the mean of its divisors is an integer number (1191960).

Almost surely, 2^36581820 is an apocalyptic number.

36581820 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 36581820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57214080).

36581820 is an abundant number, since it is smaller than the sum of its proper divisors (77846340).

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

36581820 is a wasteful number, since it uses less digits than its factorization.

36581820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 36581820 is about 6048.2906676184. The cubic root of 36581820 is about 331.9620486933.

It can be divided in two parts, 36581 and 820, that added together give a triangular number (37401 = T₂₇₃).

The spelling of 36581820 in words is "thirty-six million, five hundred eighty-one thousand, eight hundred twenty".