2623680 has 84 divisors (see below), whose sum is σ = 9034272. Its totient is φ = 698880.

The previous prime is 2623657. The next prime is 2623711. The reversal of 2623680 is 863262.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2425 + ... + 3335.

2^2623680 is an apocalyptic number.

2623680 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 2623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517136).

2623680 is an abundant number, since it is smaller than the sum of its proper divisors (6410592).

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

2623680 is a wasteful number, since it uses less digits than its factorization.

2623680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2623680 is about 1619.7777625341. Note that the first 4 decimals coincide. The cubic root of 2623680 is about 137.9230825301.

The spelling of 2623680 in words is "two million, six hundred twenty-three thousand, six hundred eighty".