35000960 has 64 divisors (see below), whose sum is σ = 88623720. Its totient is φ = 13172736.

The previous prime is 35000957. The next prime is 35000971. The reversal of 35000960 is 6900053.

35000960 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 4 ways, for example, as 34762816 + 238144 = 5896^2 + 488^2 .

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

It is an unprimeable number.

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, 9272 + ... + 12488.

Almost surely, 2^35000960 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 35000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44311860).

35000960 is an abundant number, since it is smaller than the sum of its proper divisors (53622760).

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

35000960 is a wasteful number, since it uses less digits than its factorization.

35000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 35000960 is about 5916.1609173517. The cubic root of 35000960 is about 327.1096216807.

The spelling of 35000960 in words is "thirty-five million, nine hundred sixty", and thus it is an aban number.