35793664 has 36 divisors (see below), whose sum is σ = 72296280. Its totient is φ = 17684480.

The previous prime is 35793643. The next prime is 35793677. The reversal of 35793664 is 46639753.

It is a self number, because there is not a number n which added to its sum of digits gives 35793664.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 21999 + ... + 23569.

It is an arithmetic number, because the mean of its divisors is an integer number (2008230).

Almost surely, 2^35793664 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 35793664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36148140).

35793664 is an abundant number, since it is smaller than the sum of its proper divisors (36502616).

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

35793664 is an equidigital number, since it uses as much as digits as its factorization.

35793664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1662 counting only the distinct ones).

The product of its digits is 408240, while the sum is 43.

The square root of 35793664 is about 5982.7806244254. The cubic root of 35793664 is about 329.5606764913.

The spelling of 35793664 in words is "thirty-five million, seven hundred ninety-three thousand, six hundred sixty-four".