2027648 has 64 divisors (see below), whose sum is σ = 4830720. Its totient is φ = 829440.

The previous prime is 2027639. The next prime is 2027659. The reversal of 2027648 is 8467202.

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

It is a super-2 number, since 2×2027648² = 8222712823808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2027648.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27740 + ... + 27812.

It is an arithmetic number, because the mean of its divisors is an integer number (75480).

2^2027648 is an apocalyptic number.

2027648 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 2027648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415360).

2027648 is an abundant number, since it is smaller than the sum of its proper divisors (2803072).

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

2027648 is an equidigital number, since it uses as much as digits as its factorization.

2027648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 2027648 is about 1423.9550554705. The cubic root of 2027648 is about 126.5700216939.

The spelling of 2027648 in words is "two million, twenty-seven thousand, six hundred forty-eight".