1282896 has 60 divisors (see below), whose sum is σ = 3675360. Its totient is φ = 417600.

The previous prime is 1282877. The next prime is 1282903. The reversal of 1282896 is 6982821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1282896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8421 + ... + 8571.

It is an arithmetic number, because the mean of its divisors is an integer number (61256).

2^1282896 is an apocalyptic number.

1282896 is a gapful number since it is divisible by the number (16) 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 1282896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837680).

1282896 is an abundant number, since it is smaller than the sum of its proper divisors (2392464).

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

1282896 is a wasteful number, since it uses less digits than its factorization.

1282896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 215 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1282896 is about 1132.6499900675. The cubic root of 1282896 is about 108.6585279178.

The spelling of 1282896 in words is "one million, two hundred eighty-two thousand, eight hundred ninety-six".