2835768 has 64 divisors (see below), whose sum is σ = 7812000. Its totient is φ = 852480.

The previous prime is 2835751. The next prime is 2835779. The reversal of 2835768 is 8675382.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an Ulam number.

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, 18958 + ... + 19106.

2^2835768 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 2835768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906000).

2835768 is an abundant number, since it is smaller than the sum of its proper divisors (4976232).

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

2835768 is a wasteful number, since it uses less digits than its factorization.

2835768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 2835768 is about 1683.9738715313. The cubic root of 2835768 is about 141.5435984637.

The spelling of 2835768 in words is "two million, eight hundred thirty-five thousand, seven hundred sixty-eight".