36468820 has 24 divisors (see below), whose sum is σ = 76712328. Its totient is φ = 14563200.

The previous prime is 36468811. The next prime is 36468821. The reversal of 36468820 is 2886463.

It can be written as a sum of positive squares in 4 ways, for example, as 3083536 + 33385284 = 1756^2 + 5778^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 36468820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36468821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15310 + ... + 17530.

It is an arithmetic number, because the mean of its divisors is an integer number (3196347).

Almost surely, 2^36468820 is an apocalyptic number.

It is an amenable number.

36468820 is an abundant number, since it is smaller than the sum of its proper divisors (40243508).

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

36468820 is a wasteful number, since it uses less digits than its factorization.

36468820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 36468820 is about 6038.9419603106. The cubic root of 36468820 is about 331.6198896459.

The spelling of 36468820 in words is "thirty-six million, four hundred sixty-eight thousand, eight hundred twenty".