36164800 has 84 divisors (see below), whose sum is σ = 101732080. Its totient is φ = 12395520.

The previous prime is 36164753. The next prime is 36164819. The reversal of 36164800 is 846163.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9586 + ... + 12814.

Almost surely, 2^36164800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50866040).

36164800 is an abundant number, since it is smaller than the sum of its proper divisors (65567280).

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

36164800 is a wasteful number, since it uses less digits than its factorization.

36164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 36164800 is about 6013.7176521682. The cubic root of 36164800 is about 330.6958076411.

It can be divided in two parts, 36 and 164800, that added together give a square (164836 = 406²).

The spelling of 36164800 in words is "thirty-six million, one hundred sixty-four thousand, eight hundred".