36138960 has 360 divisors, whose sum is σ = 148677984. Its totient is φ = 8087040.

The previous prime is 36138953. The next prime is 36138961. The reversal of 36138960 is 6983163.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36138961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2779914 + ... + 2779926.

It is a vampire number, since it can be written as 3861 ⋅ 9360 (with its own digits).

Almost surely, 2^36138960 is an apocalyptic number.

36138960 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 36138960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74338992).

36138960 is an abundant number, since it is smaller than the sum of its proper divisors (112539024).

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

36138960 is a wasteful number, since it uses less digits than its factorization.

36138960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 36138960 is about 6011.5688468153. The cubic root of 36138960 is about 330.6170273937.

The spelling of 36138960 in words is "thirty-six million, one hundred thirty-eight thousand, nine hundred sixty".