36084816 has 60 divisors (see below), whose sum is σ = 104481780. Its totient is φ = 11612160.

The previous prime is 36084803. The next prime is 36084821. The reversal of 36084816 is 61848063.

It is a happy number.

36084816 is a `hidden beast` number, since 3 + 608 + 48 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7952400 + 28132416 = 2820^2 + 5304^2 .

It is a super-2 number, since 2×36084816² = 2604227891507712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145 + ... + 8496.

It is an arithmetic number, because the mean of its divisors is an integer number (1741363).

Almost surely, 2^36084816 is an apocalyptic number.

36084816 is a gapful number since it is divisible by the number (36) 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 36084816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52240890).

36084816 is an abundant number, since it is smaller than the sum of its proper divisors (68396964).

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

36084816 is a wasteful number, since it uses less digits than its factorization.

36084816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8684 (or 8675 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 36084816 is about 6007.0638418449. The cubic root of 36084816 is about 330.4518328630.

The spelling of 36084816 in words is "thirty-six million, eighty-four thousand, eight hundred sixteen".