36164128 has 96 divisors (see below), whose sum is σ = 95679360. Its totient is φ = 12994560.

The previous prime is 36164113. The next prime is 36164143. The reversal of 36164128 is 82146163.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36164113) and next prime (36164143).

It is a self number, because there is not a number n which added to its sum of digits gives 36164128.

It is a congruent number.

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, 31468 + ... + 32596.

It is an arithmetic number, because the mean of its divisors is an integer number (996660).

Almost surely, 2^36164128 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 36164128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47839680).

36164128 is an abundant number, since it is smaller than the sum of its proper divisors (59515232).

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

36164128 is a wasteful number, since it uses less digits than its factorization.

36164128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1162 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 36164128 is about 6013.6617796481. The cubic root of 36164128 is about 330.6937593422.

It can be divided in two parts, 3616 and 4128, that added together give a square (7744 = 88²).

The spelling of 36164128 in words is "thirty-six million, one hundred sixty-four thousand, one hundred twenty-eight".