36668160 has 144 divisors (see below), whose sum is σ = 130243680. Its totient is φ = 9768960.

The previous prime is 36668153. The next prime is 36668171. The reversal of 36668160 is 6186663.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34030 + ... + 35090.

It is an arithmetic number, because the mean of its divisors is an integer number (904470).

Almost surely, 2^36668160 is an apocalyptic number.

36668160 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 36668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65121840).

36668160 is an abundant number, since it is smaller than the sum of its proper divisors (93575520).

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

36668160 is a wasteful number, since it uses less digits than its factorization.

36668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 36668160 is about 6055.4240148812. The cubic root of 36668160 is about 332.2230078608.

The spelling of 36668160 in words is "thirty-six million, six hundred sixty-eight thousand, one hundred sixty".