2067648 has 84 divisors (see below), whose sum is σ = 6080760. Its totient is φ = 619520.

The previous prime is 2067647. The next prime is 2067661. The reversal of 2067648 is 8467602.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (2067647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23188 + ... + 23276.

It is an arithmetic number, because the mean of its divisors is an integer number (72390).

2^2067648 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 2067648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040380).

2067648 is an abundant number, since it is smaller than the sum of its proper divisors (4013112).

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

2067648 is a wasteful number, since it uses less digits than its factorization.

2067648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2067648 is about 1437.9318481764. The cubic root of 2067648 is about 127.3969024316.

The spelling of 2067648 in words is "two million, sixty-seven thousand, six hundred forty-eight".