35760 has 40 divisors (see below), whose sum is σ = 111600. Its totient is φ = 9472.

The previous prime is 35759. The next prime is 35771. The reversal of 35760 is 6753.

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 13.

It is a nialpdrome in base 6.

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, 166 + ... + 314.

It is an arithmetic number, because the mean of its divisors is an integer number (2790).

2³⁵⁷⁶⁰ is an apocalyptic number.

35760 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 35760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55800).

35760 is an abundant number, since it is smaller than the sum of its proper divisors (75840).

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

35760 is a wasteful number, since it uses less digits than its factorization.

35760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 35760 is about 189.1031464572. The cubic root of 35760 is about 32.9457326631.

The spelling of 35760 in words is "thirty-five thousand, seven hundred sixty".