35640 has 80 divisors (see below), whose sum is σ = 130680. Its totient is φ = 8640.

The previous prime is 35617. The next prime is 35671. The reversal of 35640 is 4653.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6 and base 15.

It is a congruent number.

It is an unprimeable number.

35640 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 19 ways as a sum of consecutive naturals, for example, 3235 + ... + 3245.

2³⁵⁶⁴⁰ is an apocalyptic number.

35640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65340).

35640 is an abundant number, since it is smaller than the sum of its proper divisors (95040).

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

35640 is a wasteful number, since it uses less digits than its factorization.

35640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 35640 is about 188.7855926706. The cubic root of 35640 is about 32.9088393146.

35640 divided by its product of nonzero digits (360) gives a palindrome (99).

The spelling of 35640 in words is "thirty-five thousand, six hundred forty".