35068500 has 72 divisors (see below), whose sum is σ = 110643624. Its totient is φ = 9350400.

The previous prime is 35068499. The next prime is 35068529. The reversal of 35068500 is 586053.

It can be written as a sum of positive squares in 4 ways, for example, as 352836 + 34715664 = 594^2 + 5892^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 604 + ... + 8396.

It is an arithmetic number, because the mean of its divisors is an integer number (1536717).

Almost surely, 2^35068500 is an apocalyptic number.

35068500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35068500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55321812).

35068500 is an abundant number, since it is smaller than the sum of its proper divisors (75575124).

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

35068500 is a wasteful number, since it uses less digits than its factorization.

35068500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7818 (or 7803 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 35068500 is about 5921.8662598880. The cubic root of 35068500 is about 327.3198900886.

The spelling of 35068500 in words is "thirty-five million, sixty-eight thousand, five hundred".