36640000 has 90 divisors (see below), whose sum is σ = 91790930. Its totient is φ = 14592000.

The previous prime is 36639997. The next prime is 36640007. The reversal of 36640000 is 4663.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 5992704 + 30647296 = 2448^2 + 5536^2 .

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 36640000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36640007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159886 + ... + 160114.

Almost surely, 2^36640000 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 36640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45895465).

36640000 is an abundant number, since it is smaller than the sum of its proper divisors (55150930).

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

36640000 is an frugal number, since it uses more digits than its factorization.

36640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 36640000 is about 6053.0983801686. The cubic root of 36640000 is about 332.1379404543.

Adding to 36640000 its reverse (4663), we get a palindrome (36644663).

It can be divided in two parts, 36 and 640000, that multiplied together give a square (23040000 = 4800²).

The spelling of 36640000 in words is "thirty-six million, six hundred forty thousand".