36128960 has 84 divisors (see below), whose sum is σ = 99102672. Its totient is φ = 12289536.

The previous prime is 36128959. The next prime is 36128969. The reversal of 36128960 is 6982163.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 36128960.

It is not an unprimeable number, because it can be changed into a prime (36128969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284417 + ... + 284543.

Almost surely, 2^36128960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49551336).

36128960 is an abundant number, since it is smaller than the sum of its proper divisors (62973712).

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

36128960 is an equidigital number, since it uses as much as digits as its factorization.

36128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 36128960 is about 6010.7370596292. The cubic root of 36128960 is about 330.5865296034.

Multiplying 36128960 by its sum of digits (35), we get a square (1264513600 = 35560²).

36128960 divided by its sum of digits (35) gives a square (1032256 = 1016²).

The spelling of 36128960 in words is "thirty-six million, one hundred twenty-eight thousand, nine hundred sixty".