1288854 has 48 divisors (see below), whose sum is σ = 3268512. Its totient is φ = 359424.

The previous prime is 1288853. The next prime is 1288871. The reversal of 1288854 is 4588821.

It is a super-2 number, since 2×1288854² = 3322289266632, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6582 + ... + 6774.

It is an arithmetic number, because the mean of its divisors is an integer number (68094).

2^1288854 is an apocalyptic number.

1288854 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1288854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634256).

1288854 is an abundant number, since it is smaller than the sum of its proper divisors (1979658).

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

1288854 is a wasteful number, since it uses less digits than its factorization.

1288854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 258 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 1288854 is about 1135.2770586954. The cubic root of 1288854 is about 108.8264781109.

The spelling of 1288854 in words is "one million, two hundred eighty-eight thousand, eight hundred fifty-four".