36216064 has 36 divisors (see below), whose sum is σ = 72764356. Its totient is φ = 17989632.

The previous prime is 36216031. The next prime is 36216067. The reversal of 36216064 is 46061263.

It can be written as a sum of positive squares in 2 ways, for example, as 24601600 + 11614464 = 4960^2 + 3408^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36216067) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49042 + ... + 49774.

Almost surely, 2^36216064 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 36216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36382178).

36216064 is an abundant number, since it is smaller than the sum of its proper divisors (36548292).

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

36216064 is an equidigital number, since it uses as much as digits as its factorization.

36216064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 36216064 is about 6017.9783981001. The cubic root of 36216064 is about 330.8519888442.

The spelling of 36216064 in words is "thirty-six million, two hundred sixteen thousand, sixty-four".