2027680 has 96 divisors (see below), whose sum is σ = 5443200. Its totient is φ = 709632.

The previous prime is 2027677. The next prime is 2027681. The reversal of 2027680 is 867202.

It is a super-2 number, since 2×2027680² = 8222972364800, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2027681) 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, 69906 + ... + 69934.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

2^2027680 is an apocalyptic number.

2027680 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 2027680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721600).

2027680 is an abundant number, since it is smaller than the sum of its proper divisors (3415520).

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

2027680 is a wasteful number, since it uses less digits than its factorization.

2027680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 2027680 is about 1423.9662917359. The cubic root of 2027680 is about 126.5706875260.

The spelling of 2027680 in words is "two million, twenty-seven thousand, six hundred eighty".