36681210 has 72 divisors (see below), whose sum is σ = 100744020. Its totient is φ = 9258624.

The previous prime is 36681209. The next prime is 36681241. The reversal of 36681210 is 1218663.

It can be written as a sum of positive squares in 2 ways, for example, as 33143049 + 3538161 = 5757^2 + 1881^2 .

It is a super-2 number, since 2×36681210² = 2691022334128200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31926 + ... + 33054.

Almost surely, 2^36681210 is an apocalyptic number.

36681210 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 36681210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50372010).

36681210 is an abundant number, since it is smaller than the sum of its proper divisors (64062810).

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

36681210 is a wasteful number, since it uses less digits than its factorization.

36681210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 36681210 is about 6056.5014653676. The cubic root of 36681210 is about 332.2624153106.

Adding to 36681210 its reverse (1218663), we get a palindrome (37899873).

The spelling of 36681210 in words is "thirty-six million, six hundred eighty-one thousand, two hundred ten".