35088 has 40 divisors (see below), whose sum is σ = 98208. Its totient is φ = 10752.

The previous prime is 35083. The next prime is 35089. The reversal of 35088 is 88053.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 3⁷ + 5³ + 0 + 8 + 8⁵ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35088.

It is not an unprimeable number, because it can be changed into a prime (35081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 795 + ... + 837.

2³⁵⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49104).

35088 is an abundant number, since it is smaller than the sum of its proper divisors (63120).

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

35088 is a wasteful number, since it uses less digits than its factorization.

35088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 35088 is about 187.3179115835. The cubic root of 35088 is about 32.7380548088.

The spelling of 35088 in words is "thirty-five thousand, eighty-eight".