35085440 has 64 divisors (see below), whose sum is σ = 90349560. Its totient is φ = 12951552.

The previous prime is 35085437. The next prime is 35085443. The reversal of 35085440 is 4458053.

It is an interprime number because it is at equal distance from previous prime (35085437) and next prime (35085443).

It can be written as a sum of positive squares in 4 ways, for example, as 28815424 + 6270016 = 5368^2 + 2504^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (35085443) 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, 6212 + ... + 10428.

Almost surely, 2^35085440 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 35085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45174780).

35085440 is an abundant number, since it is smaller than the sum of its proper divisors (55264120).

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

35085440 is a wasteful number, since it uses less digits than its factorization.

35085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4249 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 35085440 is about 5923.2963795508. The cubic root of 35085440 is about 327.3725860633.

The spelling of 35085440 in words is "thirty-five million, eighty-five thousand, four hundred forty".