35940 has 24 divisors (see below), whose sum is σ = 100800. Its totient is φ = 9568.

The previous prime is 35933. The next prime is 35951. The reversal of 35940 is 4953.

It is a plaindrome in base 13.

It is an unprimeable number.

35940 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (4200).

2³⁵⁹⁴⁰ is an apocalyptic number.

35940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35940 is an abundant number, since it is smaller than the sum of its proper divisors (64860).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50400).

35940 is a wasteful number, since it uses less digits than its factorization.

35940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 35940 is about 189.5784797914. The cubic root of 35940 is about 33.0009182481. Note that the first 3 decimals are identical.

The spelling of 35940 in words is "thirty-five thousand, nine hundred forty".