36188064 has 72 divisors (see below), whose sum is σ = 112275072. Its totient is φ = 10965120.

The previous prime is 36188051. The next prime is 36188093. The reversal of 36188064 is 46088163.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2544 + ... + 8879.

It is an arithmetic number, because the mean of its divisors is an integer number (1559376).

Almost surely, 2^36188064 is an apocalyptic number.

It is an amenable number.

36188064 is an abundant number, since it is smaller than the sum of its proper divisors (76087008).

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

36188064 is a wasteful number, since it uses less digits than its factorization.

36188064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11450 (or 11439 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 36188064 is about 6015.6515856555. The cubic root of 36188064 is about 330.7667021593.

Subtracting 36188064 from its reverse (46088163), we obtain a palindrome (9900099).

The spelling of 36188064 in words is "thirty-six million, one hundred eighty-eight thousand, sixty-four".