1292288 has 24 divisors (see below), whose sum is σ = 2588040. Its totient is φ = 645120.

The previous prime is 1292281. The next prime is 1292293. The reversal of 1292288 is 8822921.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1292281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1733 + ... + 2363.

It is an arithmetic number, because the mean of its divisors is an integer number (107835).

2^1292288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1292288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294020).

1292288 is an abundant number, since it is smaller than the sum of its proper divisors (1295752).

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

1292288 is an frugal number, since it uses more digits than its factorization.

1292288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 633 counting only the distinct ones).

The product of its digits is 4608, while the sum is 32.

The square root of 1292288 is about 1136.7884587732. The cubic root of 1292288 is about 108.9230441853.

The spelling of 1292288 in words is "one million, two hundred ninety-two thousand, two hundred eighty-eight".