35213568 has 72 divisors (see below), whose sum is σ = 100957248. Its totient is φ = 10831872.

The previous prime is 35213567. The next prime is 35213573. The reversal of 35213568 is 86531253.

It is not an unprimeable number, because it can be changed into a prime (35213561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8221 + ... + 11747.

It is an arithmetic number, because the mean of its divisors is an integer number (1402184).

Almost surely, 2^35213568 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 35213568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50478624).

35213568 is an abundant number, since it is smaller than the sum of its proper divisors (65743680).

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

35213568 is a wasteful number, since it uses less digits than its factorization.

35213568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3545 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 35213568 is about 5934.1021224782. The cubic root of 35213568 is about 327.7706109789.

The spelling of 35213568 in words is "thirty-five million, two hundred thirteen thousand, five hundred sixty-eight".