36406000 has 80 divisors (see below), whose sum is σ = 89369280. Its totient is φ = 14342400.

The previous prime is 36405973. The next prime is 36406021. The reversal of 36406000 is 60463.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 217917 + ... + 218083.

It is an arithmetic number, because the mean of its divisors is an integer number (1117116).

Almost surely, 2^36406000 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 36406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44684640).

36406000 is an abundant number, since it is smaller than the sum of its proper divisors (52963280).

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

36406000 is a wasteful number, since it uses less digits than its factorization.

36406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 283 counting only the distinct ones).

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

The square root of 36406000 is about 6033.7384762683. The cubic root of 36406000 is about 331.4293676726.

Adding to 36406000 its reverse (60463), we get a palindrome (36466463).

The spelling of 36406000 in words is "thirty-six million, four hundred six thousand".