36032160 has 96 divisors (see below), whose sum is σ = 114331392. Its totient is φ = 9538560.

The previous prime is 36032159. The next prime is 36032167. The reversal of 36032160 is 6123063.

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

It is not an unprimeable number, because it can be changed into a prime (36032167) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 129942 + ... + 130218.

It is an arithmetic number, because the mean of its divisors is an integer number (1190952).

Almost surely, 2^36032160 is an apocalyptic number.

36032160 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 36032160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57165696).

36032160 is an abundant number, since it is smaller than the sum of its proper divisors (78299232).

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

36032160 is a wasteful number, since it uses less digits than its factorization.

36032160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 36032160 is about 6002.6794017339. The cubic root of 36032160 is about 330.2910196811.

The spelling of 36032160 in words is "thirty-six million, thirty-two thousand, one hundred sixty".