36160000 has 100 divisors (see below), whose sum is σ = 91081782. Its totient is φ = 14336000.

The previous prime is 36159997. The next prime is 36160027. The reversal of 36160000 is 6163.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1679616 + 34480384 = 1296^2 + 5872^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319944 + ... + 320056.

Almost surely, 2^36160000 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 36160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45540891).

36160000 is an abundant number, since it is smaller than the sum of its proper divisors (54921782).

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

36160000 is an frugal number, since it uses more digits than its factorization.

36160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 36160000 is about 6013.3185513492. The cubic root of 36160000 is about 330.6811763780.

Adding to 36160000 its reverse (6163), we get a palindrome (36166163).

It can be divided in two parts, 36 and 160000, that multiplied together give a square (5760000 = 2400²).

The spelling of 36160000 in words is "thirty-six million, one hundred sixty thousand".