2606688 has 96 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 743040.

The previous prime is 2606683. The next prime is 2606693. The reversal of 2606688 is 8866062.

It is an interprime number because it is at equal distance from previous prime (2606683) and next prime (2606693).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2606683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5833 + ... + 6263.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

2^2606688 is an apocalyptic number.

2606688 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 2606688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

2606688 is an abundant number, since it is smaller than the sum of its proper divisors (6102432).

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

2606688 is a wasteful number, since it uses less digits than its factorization.

2606688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2606688 is about 1614.5240784826. The cubic root of 2606688 is about 137.6246890979.

The spelling of 2606688 in words is "two million, six hundred six thousand, six hundred eighty-eight".