36440160 has 96 divisors (see below), whose sum is σ = 116212320. Its totient is φ = 9596928.

The previous prime is 36440149. The next prime is 36440167. The reversal of 36440160 is 6104463.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 36440160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36440167) 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, 42294 + ... + 43146.

It is an arithmetic number, because the mean of its divisors is an integer number (1210545).

Almost surely, 2^36440160 is an apocalyptic number.

36440160 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 36440160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58106160).

36440160 is an abundant number, since it is smaller than the sum of its proper divisors (79772160).

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

36440160 is a wasteful number, since it uses less digits than its factorization.

36440160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 36440160 is about 6036.5685616913. The cubic root of 36440160 is about 331.5329960854.

The spelling of 36440160 in words is "thirty-six million, four hundred forty thousand, one hundred sixty".