36646016 has 64 divisors (see below), whose sum is σ = 84382560. Its totient is φ = 15667200.

The previous prime is 36645997. The next prime is 36646081. The reversal of 36646016 is 61064663.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23171 + ... + 24701.

Almost surely, 2^36646016 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 36646016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42191280).

36646016 is an abundant number, since it is smaller than the sum of its proper divisors (47736544).

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

36646016 is a wasteful number, since it uses less digits than its factorization.

36646016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 36646016 is about 6053.5952953596. The cubic root of 36646016 is about 332.1561176059.

The spelling of 36646016 in words is "thirty-six million, six hundred forty-six thousand, sixteen".