35460 has 36 divisors (see below), whose sum is σ = 108108. Its totient is φ = 9408.

The previous prime is 35449. The next prime is 35461. The reversal of 35460 is 6453.

It is a happy number.

35460 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 2 ways, for example, as 26244 + 9216 = 162^2 + 96^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

35460 is a nontrivial repdigit in base 14.

It is a plaindrome in base 14.

It is a nialpdrome in base 6 and base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35461) by changing a digit.

35460 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 (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82 + ... + 278.

It is an arithmetic number, because the mean of its divisors is an integer number (3003).

2³⁵⁴⁶⁰ is an apocalyptic number.

35460 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 35460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54054).

35460 is an abundant number, since it is smaller than the sum of its proper divisors (72648).

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

35460 is a wasteful number, since it uses less digits than its factorization.

35460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 207 counting only the distinct ones).

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

The square root of 35460 is about 188.3082579177. The cubic root of 35460 is about 32.8533436961.

It can be divided in two parts, 354 and 60, that added together give a palindrome (414).

The spelling of 35460 in words is "thirty-five thousand, four hundred sixty".