36180864 has 192 divisors, whose sum is σ = 116586000. Its totient is φ = 11031552.

The previous prime is 36180853. The next prime is 36180877. The reversal of 36180864 is 46808163.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1247602 + ... + 1247630.

Almost surely, 2^36180864 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 36180864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58293000).

36180864 is an abundant number, since it is smaller than the sum of its proper divisors (80405136).

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

36180864 is a wasteful number, since it uses less digits than its factorization.

36180864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 53 counting only the distinct ones).

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

The square root of 36180864 is about 6015.0531169725. The cubic root of 36180864 is about 330.7447641871.

It can be divided in two parts, 361 and 80864, that added together give a square (81225 = 285²).

The spelling of 36180864 in words is "thirty-six million, one hundred eighty thousand, eight hundred sixty-four".