35561064 has 96 divisors (see below), whose sum is σ = 112860000. Its totient is φ = 9233280.

The previous prime is 35561041. The next prime is 35561069. The reversal of 35561064 is 46016553.

35561064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (35561069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11562 + ... + 14310.

It is an arithmetic number, because the mean of its divisors is an integer number (1175625).

Almost surely, 2^35561064 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 35561064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56430000).

35561064 is an abundant number, since it is smaller than the sum of its proper divisors (77298936).

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

35561064 is a wasteful number, since it uses less digits than its factorization.

35561064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 35561064 is about 5963.3098192195. The cubic root of 35561064 is about 328.8452569408.

The spelling of 35561064 in words is "thirty-five million, five hundred sixty-one thousand, sixty-four".