1286880 has 96 divisors (see below), whose sum is σ = 4644864. Its totient is φ = 293376.

The previous prime is 1286843. The next prime is 1286881. The reversal of 1286880 is 886821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1286881) 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, 3169 + ... + 3551.

It is an arithmetic number, because the mean of its divisors is an integer number (48384).

2^1286880 is an apocalyptic number.

1286880 is a gapful number since it is divisible by the number (10) 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 1286880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322432).

1286880 is an abundant number, since it is smaller than the sum of its proper divisors (3357984).

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

1286880 is a wasteful number, since it uses less digits than its factorization.

1286880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 1286880 is about 1134.4073342499. The cubic root of 1286880 is about 108.7708904246.

The spelling of 1286880 in words is "one million, two hundred eighty-six thousand, eight hundred eighty".