1288000 has 112 divisors (see below), whose sum is σ = 3803904. Its totient is φ = 422400.

The previous prime is 1287997. The next prime is 1288003. The reversal of 1288000 is 8821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1287997) and next prime (1288003).

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288003) 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, 55989 + ... + 56011.

2^1288000 is an apocalyptic number.

1288000 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 1288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901952).

1288000 is an abundant number, since it is smaller than the sum of its proper divisors (2515904).

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

1288000 is an equidigital number, since it uses as much as digits as its factorization.

1288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 1288000 is about 1134.9008767289. The cubic root of 1288000 is about 108.8024365083.

It can be divided in two parts, 128 and 8000, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 1288000 in words is "one million, two hundred eighty-eight thousand".