36832416 has 48 divisors (see below), whose sum is σ = 96997824. Its totient is φ = 12237824.

The previous prime is 36832409. The next prime is 36832417. The reversal of 36832416 is 61423863.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (36832417) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 56605 + ... + 57251.

It is an arithmetic number, because the mean of its divisors is an integer number (2020788).

Almost surely, 2^36832416 is an apocalyptic number.

It is an amenable number.

36832416 is an abundant number, since it is smaller than the sum of its proper divisors (60165408).

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

36832416 is a wasteful number, since it uses less digits than its factorization.

36832416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1245 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 36832416 is about 6068.9715767995. The cubic root of 36832416 is about 332.7183362558.

The spelling of 36832416 in words is "thirty-six million, eight hundred thirty-two thousand, four hundred sixteen".