35040 has 48 divisors (see below), whose sum is σ = 111888. Its totient is φ = 9216.

The previous prime is 35027. The next prime is 35051. The reversal of 35040 is 4053.

35040 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 444 + ... + 516.

It is an arithmetic number, because the mean of its divisors is an integer number (2331).

2³⁵⁰⁴⁰ is an apocalyptic number.

35040 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 35040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55944).

35040 is an abundant number, since it is smaller than the sum of its proper divisors (76848).

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

35040 is a wasteful number, since it uses less digits than its factorization.

35040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 35040 is about 187.1897433088. The cubic root of 35040 is about 32.7231195628.

Subtracting from 35040 its product of nonzero digits (60), we obtain a triangular number (34980 = T₂₆₄).

Adding to 35040 its reverse (4053), we get a palindrome (39093).

The spelling of 35040 in words is "thirty-five thousand, forty".