36084240 has 120 divisors (see below), whose sum is σ = 126509760. Its totient is φ = 9199872.

The previous prime is 36084239. The next prime is 36084247. The reversal of 36084240 is 4248063.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (36084247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15471 + ... + 17649.

It is an arithmetic number, because the mean of its divisors is an integer number (1054248).

Almost surely, 2^36084240 is an apocalyptic number.

36084240 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 36084240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63254880).

36084240 is an abundant number, since it is smaller than the sum of its proper divisors (90425520).

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

36084240 is a wasteful number, since it uses less digits than its factorization.

36084240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 36084240 is about 6007.0158980978. The cubic root of 36084240 is about 330.4500745864.

The spelling of 36084240 in words is "thirty-six million, eighty-four thousand, two hundred forty".