35085040 has 40 divisors (see below), whose sum is σ = 82057248. Its totient is φ = 13950720.

The previous prime is 35084977. The next prime is 35085049. The reversal of 35085040 is 4058053.

It is a happy number.

35085040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 35084996 and 35085014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35085049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13269 + ... + 15691.

Almost surely, 2^35085040 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 35085040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41028624).

35085040 is an abundant number, since it is smaller than the sum of its proper divisors (46972208).

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

35085040 is a wasteful number, since it uses less digits than its factorization.

35085040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 35085040 is about 5923.2626144719. The cubic root of 35085040 is about 327.3713419619.

The spelling of 35085040 in words is "thirty-five million, eighty-five thousand, forty".