36905220 has 240 divisors, whose sum is σ = 134164800. Its totient is φ = 8398080.

The previous prime is 36905171. The next prime is 36905227. The reversal of 36905220 is 2250963.

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

It is not an unprimeable number, because it can be changed into a prime (36905227) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 338526 + ... + 338634.

It is an arithmetic number, because the mean of its divisors is an integer number (559020).

Almost surely, 2^36905220 is an apocalyptic number.

36905220 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 36905220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67082400).

36905220 is an abundant number, since it is smaller than the sum of its proper divisors (97259580).

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

36905220 is a wasteful number, since it uses less digits than its factorization.

36905220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 36905220 is about 6074.9666665752. The cubic root of 36905220 is about 332.9374121477.

The spelling of 36905220 in words is "thirty-six million, nine hundred five thousand, two hundred twenty".