36676416 has 112 divisors (see below), whose sum is σ = 114848640. Its totient is φ = 10106880.

The previous prime is 36676397. The next prime is 36676439. The reversal of 36676416 is 61467663.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38506 + ... + 39446.

Almost surely, 2^36676416 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 36676416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57424320).

36676416 is an abundant number, since it is smaller than the sum of its proper divisors (78172224).

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

36676416 is a wasteful number, since it uses less digits than its factorization.

36676416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 982 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 36676416 is about 6056.1056793950. The cubic root of 36676416 is about 332.2479398210.

The spelling of 36676416 in words is "thirty-six million, six hundred seventy-six thousand, four hundred sixteen".