2704688 has 80 divisors (see below), whose sum is σ = 6666240. Its totient is φ = 1036800.

The previous prime is 2704661. The next prime is 2704693. The reversal of 2704688 is 8864072.

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, 65948 + ... + 65988.

It is an arithmetic number, because the mean of its divisors is an integer number (83328).

2^2704688 is an apocalyptic number.

2704688 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 2704688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333120).

2704688 is an abundant number, since it is smaller than the sum of its proper divisors (3961552).

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

2704688 is a wasteful number, since it uses less digits than its factorization.

2704688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 2704688 is about 1644.5935668122. The cubic root of 2704688 is about 139.3282101446.

The spelling of 2704688 in words is "two million, seven hundred four thousand, six hundred eighty-eight".