36503064 has 96 divisors (see below), whose sum is σ = 108435600. Its totient is φ = 11024640.

The previous prime is 36503059. The next prime is 36503069. The reversal of 36503064 is 46030563.

36503064 is a `hidden beast` number, since 3 + 650 + 3 + 0 + 6 + 4 = 666.

36503064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36503059) and next prime (36503069).

It is a super-4 number, since 4×36503064⁴ (a number of 31 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36503069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54894 + ... + 55554.

Almost surely, 2^36503064 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 36503064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54217800).

36503064 is an abundant number, since it is smaller than the sum of its proper divisors (71932536).

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

36503064 is a wasteful number, since it uses less digits than its factorization.

36503064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 36503064 is about 6041.7765599201. The cubic root of 36503064 is about 331.7236535274.

The spelling of 36503064 in words is "thirty-six million, five hundred three thousand, sixty-four".