1288896 has 84 divisors (see below), whose sum is σ = 3995928. Its totient is φ = 365568.

The previous prime is 1288891. The next prime is 1288919. The reversal of 1288896 is 6988821.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×1288896² = 3322505797632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1288891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9340 + ... + 9476.

2^1288896 is an apocalyptic number.

1288896 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 1288896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997964).

1288896 is an abundant number, since it is smaller than the sum of its proper divisors (2707032).

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

1288896 is a wasteful number, since it uses less digits than its factorization.

1288896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The square root of 1288896 is about 1135.2955562319. The cubic root of 1288896 is about 108.8276602107.

The spelling of 1288896 in words is "one million, two hundred eighty-eight thousand, eight hundred ninety-six".