35145568 has 48 divisors (see below), whose sum is σ = 72576000. Its totient is φ = 16732800.

The previous prime is 35145563. The next prime is 35145619. The reversal of 35145568 is 86554153.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35145563) 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, 70183 + ... + 70681.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 2^35145568 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 35145568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288000).

35145568 is an abundant number, since it is smaller than the sum of its proper divisors (37430432).

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

35145568 is a wasteful number, since it uses less digits than its factorization.

35145568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 603 counting only the distinct ones).

The product of its digits is 72000, while the sum is 37.

The square root of 35145568 is about 5928.3697590484. The cubic root of 35145568 is about 327.5594919408.

The spelling of 35145568 in words is "thirty-five million, one hundred forty-five thousand, five hundred sixty-eight".