36918144 has 96 divisors (see below), whose sum is σ = 107936400. Its totient is φ = 12109824.

The previous prime is 36918143. The next prime is 36918149. The reversal of 36918144 is 44181963.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 36918099 and 36918108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36918143) 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, 83877 + ... + 84315.

Almost surely, 2^36918144 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 36918144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53968200).

36918144 is an abundant number, since it is smaller than the sum of its proper divisors (71018256).

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

36918144 is a wasteful number, since it uses less digits than its factorization.

36918144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 517 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 36918144 is about 6076.0302830055. The cubic root of 36918144 is about 332.9762718801.

The spelling of 36918144 in words is "thirty-six million, nine hundred eighteen thousand, one hundred forty-four".