36965160 has 96 divisors (see below), whose sum is σ = 124619040. Its totient is φ = 9854784.

The previous prime is 36965147. The next prime is 36965161. The reversal of 36965160 is 6156963.

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

It is not an unprimeable number, because it can be changed into a prime (36965161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7819 + ... + 11621.

It is an arithmetic number, because the mean of its divisors is an integer number (1298115).

Almost surely, 2^36965160 is an apocalyptic number.

36965160 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 36965160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62309520).

36965160 is an abundant number, since it is smaller than the sum of its proper divisors (87653880).

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

36965160 is a wasteful number, since it uses less digits than its factorization.

36965160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 36965160 is about 6079.8980254606. The cubic root of 36965160 is about 333.1175625813.

The spelling of 36965160 in words is "thirty-six million, nine hundred sixty-five thousand, one hundred sixty".