36094080 has 128 divisors (see below), whose sum is σ = 125582400. Its totient is φ = 8744960.

The previous prime is 36094033. The next prime is 36094081. The reversal of 36094080 is 8049063.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×36094080² = 2605565222092800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (36094081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20266 + ... + 21974.

Almost surely, 2^36094080 is an apocalyptic number.

36094080 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 36094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62791200).

36094080 is an abundant number, since it is smaller than the sum of its proper divisors (89488320).

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

36094080 is a wasteful number, since it uses less digits than its factorization.

36094080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 36094080 is about 6007.8348845487. The cubic root of 36094080 is about 330.4801092424.

The spelling of 36094080 in words is "thirty-six million, ninety-four thousand, eighty".