36486144 has 132 divisors (see below), whose sum is σ = 109211544. Its totient is φ = 11722752.

The previous prime is 36486143. The next prime is 36486167. The reversal of 36486144 is 44168463.

36486144 is a `hidden beast` number, since 3 + 648 + 6 + 1 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 36486099 and 36486108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36486143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340939 + ... + 341045.

Almost surely, 2^36486144 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 36486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54605772).

36486144 is an abundant number, since it is smaller than the sum of its proper divisors (72725400).

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

36486144 is a wasteful number, since it uses less digits than its factorization.

36486144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 36486144 is about 6040.3761472279. The cubic root of 36486144 is about 331.6723917880.

The spelling of 36486144 in words is "thirty-six million, four hundred eighty-six thousand, one hundred forty-four".