35646016 has 56 divisors (see below), whose sum is σ = 81418176. Its totient is φ = 15168000.

The previous prime is 35645989. The next prime is 35646019. The reversal of 35646016 is 61064653.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (35646019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112290 + ... + 112606.

It is an arithmetic number, because the mean of its divisors is an integer number (1453896).

Almost surely, 2^35646016 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 35646016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40709088).

35646016 is an abundant number, since it is smaller than the sum of its proper divisors (45772160).

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

35646016 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (35646015) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (587).

35646016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 35646016 is about 5970.4284603368. The cubic root of 35646016 is about 329.1069087126.

The spelling of 35646016 in words is "thirty-five million, six hundred forty-six thousand, sixteen".