36168800 has 72 divisors (see below), whose sum is σ = 91400400. Its totient is φ = 13959680.

The previous prime is 36168793. The next prime is 36168817. The reversal of 36168800 is 886163.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 22421 + ... + 23979.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 2^36168800 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 36168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45700200).

36168800 is an abundant number, since it is smaller than the sum of its proper divisors (55231600).

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

36168800 is a wasteful number, since it uses less digits than its factorization.

36168800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 36168800 is about 6014.0502159526. The cubic root of 36168800 is about 330.7079993714.

The spelling of 36168800 in words is "thirty-six million, one hundred sixty-eight thousand, eight hundred".