36192064 has 42 divisors (see below), whose sum is σ = 75147170. Its totient is φ = 17293056.

The previous prime is 36192061. The next prime is 36192071. The reversal of 36192064 is 46029163.

It can be written as a sum of positive squares in only one way, i.e., 30470400 + 5721664 = 5520^2 + 2392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36192061) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33322 + ... + 34390.

Almost surely, 2^36192064 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 36192064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37573585).

36192064 is an abundant number, since it is smaller than the sum of its proper divisors (38955106).

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

36192064 is a wasteful number, since it uses less digits than its factorization.

36192064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 36192064 is about 6015.9840425320. The cubic root of 36192064 is about 330.7788886642.

The spelling of 36192064 in words is "thirty-six million, one hundred ninety-two thousand, sixty-four".