36066000 has 80 divisors (see below), whose sum is σ = 116296128. Its totient is φ = 9616000.

The previous prime is 36065999. The next prime is 36066007. The reversal of 36066000 is 66063.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36066007) 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, 2995 + ... + 9005.

Almost surely, 2^36066000 is an apocalyptic number.

36066000 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 36066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58148064).

36066000 is an abundant number, since it is smaller than the sum of its proper divisors (80230128).

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

36066000 is a wasteful number, since it uses less digits than its factorization.

36066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6037 (or 6021 counting only the distinct ones).

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

The square root of 36066000 is about 6005.4974814748. The cubic root of 36066000 is about 330.3943861452.

The spelling of 36066000 in words is "thirty-six million, sixty-six thousand", and thus it is an eban number.