36416160 has 288 divisors, whose sum is σ = 143881920. Its totient is φ = 8363520.

The previous prime is 36416143. The next prime is 36416183. The reversal of 36416160 is 6161463.

36416160 is a `hidden beast` number, since 3 + 6 + 41 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×36416160² = 2652273418291200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1916631 + ... + 1916649.

It is an arithmetic number, because the mean of its divisors is an integer number (499590).

Almost surely, 2^36416160 is an apocalyptic number.

36416160 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 36416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71940960).

36416160 is an abundant number, since it is smaller than the sum of its proper divisors (107465760).

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

36416160 is a wasteful number, since it uses less digits than its factorization.

36416160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 36416160 is about 6034.5803499498. The cubic root of 36416160 is about 331.4601960084.

It can be divided in two parts, 3641 and 6160, that added together give a square (9801 = 99²).

The spelling of 36416160 in words is "thirty-six million, four hundred sixteen thousand, one hundred sixty".