36066240 has 168 divisors, whose sum is σ = 141853920. Its totient is φ = 8239104.

The previous prime is 36066229. The next prime is 36066253. The reversal of 36066240 is 4266063.

36066240 is a `hidden beast` number, since 36 + 0 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19266 + ... + 21054.

Almost surely, 2^36066240 is an apocalyptic number.

36066240 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 36066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70926960).

36066240 is an abundant number, since it is smaller than the sum of its proper divisors (105787680).

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

36066240 is a wasteful number, since it uses less digits than its factorization.

36066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 36066240 is about 6005.5174631334. The cubic root of 36066240 is about 330.3951190097.

The spelling of 36066240 in words is "thirty-six million, sixty-six thousand, two hundred forty".