36180810 has 64 divisors (see below), whose sum is σ = 97493760. Its totient is φ = 9547200.

The previous prime is 36180797. The next prime is 36180829. The reversal of 36180810 is 1808163.

It is a super-2 number, since 2×36180810² = 2618102024512200, which contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27160 + ... + 28460.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 2^36180810 is an apocalyptic number.

36180810 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 36180810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

36180810 is an abundant number, since it is smaller than the sum of its proper divisors (61312950).

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

36180810 is a wasteful number, since it uses less digits than its factorization.

36180810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 36180810 is about 6015.0486282324. The cubic root of 36180810 is about 330.7445996414.

Adding to 36180810 its reverse (1808163), we get a palindrome (37988973).

The spelling of 36180810 in words is "thirty-six million, one hundred eighty thousand, eight hundred ten".