35960 has 32 divisors (see below), whose sum is σ = 86400. Its totient is φ = 13440.

The previous prime is 35951. The next prime is 35963. The reversal of 35960 is 6953.

35960 is a nontrivial binomial coefficient, being equal to C(32, 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35963) by changing a digit.

35960 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 7 ways as a sum of consecutive naturals, for example, 1145 + ... + 1175.

It is an arithmetic number, because the mean of its divisors is an integer number (2700).

2³⁵⁹⁶⁰ is an apocalyptic number.

35960 is the 155-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43200).

35960 is an abundant number, since it is smaller than the sum of its proper divisors (50440).

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

35960 is a wasteful number, since it uses less digits than its factorization.

35960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 67 counting only the distinct ones).

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

The square root of 35960 is about 189.6312210581. The cubic root of 35960 is about 33.0070385966.

Subtracting from 35960 its sum of digits (23), we obtain a cube (35937 = 33³).

The spelling of 35960 in words is "thirty-five thousand, nine hundred sixty".