35264 has 28 divisors (see below), whose sum is σ = 76200. Its totient is φ = 16128.

The previous prime is 35257. The next prime is 35267. The reversal of 35264 is 46253.

Its product of digits (720) is a multiple of the sum of its prime factors (60).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1202 + ... + 1230.

2³⁵²⁶⁴ 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 35264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38100).

35264 is an abundant number, since it is smaller than the sum of its proper divisors (40936).

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

35264 is a wasteful number, since it uses less digits than its factorization.

35264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 50 counting only the distinct ones).

The product of its digits is 720, while the sum is 20.

The square root of 35264 is about 187.7871135089. The cubic root of 35264 is about 32.7927011322.

The spelling of 35264 in words is "thirty-five thousand, two hundred sixty-four".