36094464 has 160 divisors (see below), whose sum is σ = 122432640. Its totient is φ = 10285056.

The previous prime is 36094463. The next prime is 36094469. The reversal of 36094464 is 46449063.

36094464 is a `hidden beast` number, since 3 + 609 + 4 + 46 + 4 = 666.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 36094464 = 54³ + 330³ = 200³ + 304³.

It is not an unprimeable number, because it can be changed into a prime (36094463) 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, 96582 + ... + 96954.

It is an arithmetic number, because the mean of its divisors is an integer number (765204).

Almost surely, 2^36094464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36094464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61216320).

36094464 is an abundant number, since it is smaller than the sum of its proper divisors (86338176).

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

36094464 is an equidigital number, since it uses as much as digits as its factorization.

36094464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 36094464 is about 6007.8668427321. The cubic root of 36094464 is about 330.4812812159.

The spelling of 36094464 in words is "thirty-six million, ninety-four thousand, four hundred sixty-four".