35868768 has 96 divisors (see below), whose sum is σ = 104019552. Its totient is φ = 10752000.

The previous prime is 35868743. The next prime is 35868773. The reversal of 35868768 is 86786853.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (1935360) is a multiple of the sum of its prime factors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 35868768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50818 + ... + 51518.

It is an arithmetic number, because the mean of its divisors is an integer number (1083537).

Almost surely, 2^35868768 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 35868768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52009776).

35868768 is an abundant number, since it is smaller than the sum of its proper divisors (68150784).

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

35868768 is a wasteful number, since it uses less digits than its factorization.

35868768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 760 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 35868768 is about 5989.0540154519. The cubic root of 35868768 is about 329.7910155230.

The spelling of 35868768 in words is "thirty-five million, eight hundred sixty-eight thousand, seven hundred sixty-eight".