2795688 has 96 divisors (see below), whose sum is σ = 9086400. Its totient is φ = 780192.

The previous prime is 2795677. The next prime is 2795693. The reversal of 2795688 is 8865972.

Its product of digits (241920) is a multiple of the sum of its prime factors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64995 + ... + 65037.

It is an arithmetic number, because the mean of its divisors is an integer number (94650).

2^2795688 is an apocalyptic number.

2795688 is a gapful number since it is divisible by the number (28) 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 2795688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543200).

2795688 is an abundant number, since it is smaller than the sum of its proper divisors (6290712).

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

2795688 is a wasteful number, since it uses less digits than its factorization.

2795688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 55 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 2795688 is about 1672.0311001892. The cubic root of 2795688 is about 140.8735852017.

The spelling of 2795688 in words is "two million, seven hundred ninety-five thousand, six hundred eighty-eight".