2608000 has 64 divisors (see below), whose sum is σ = 6523920. Its totient is φ = 1036800.

The previous prime is 2607991. The next prime is 2608007. The reversal of 2608000 is 8062.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2608007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15919 + ... + 16081.

2^2608000 is an apocalyptic number.

2608000 is a gapful number since it is divisible by the number (20) 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 2608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261960).

2608000 is an abundant number, since it is smaller than the sum of its proper divisors (3915920).

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

2608000 is an equidigital number, since it uses as much as digits as its factorization.

2608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2608000 is about 1614.9303390549. The cubic root of 2608000 is about 137.6477750096.

The spelling of 2608000 in words is "two million, six hundred eight thousand".