36606000 has 80 divisors (see below), whose sum is σ = 118037088. Its totient is φ = 9760000.

The previous prime is 36605999. The next prime is 36606001. The reversal of 36606000 is 60663.

It is an interprime number because it is at equal distance from previous prime (36605999) and next prime (36606001).

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

It is not an unprimeable number, because it can be changed into a prime (36606001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2950 + ... + 9050.

Almost surely, 2^36606000 is an apocalyptic number.

36606000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59018544).

36606000 is an abundant number, since it is smaller than the sum of its proper divisors (81431088).

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

36606000 is a wasteful number, since it uses less digits than its factorization.

36606000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6127 (or 6111 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 36606000 is about 6050.2892492839. The cubic root of 36606000 is about 332.0351731255.

Adding to 36606000 its reverse (60663), we get a palindrome (36666663).

The spelling of 36606000 in words is "thirty-six million, six hundred six thousand".