1296288 has 72 divisors (see below), whose sum is σ = 4219488. Its totient is φ = 369792.

The previous prime is 1296287. The next prime is 1296293. The reversal of 1296288 is 8826921.

1296288 is a `hidden beast` number, since 1 + 29 + 628 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 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 not an unprimeable number, because it can be changed into a prime (1296283) 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, 1695 + ... + 2337.

It is an arithmetic number, because the mean of its divisors is an integer number (58604).

2^1296288 is an apocalyptic number.

1296288 is a gapful number since it is divisible by the number (18) 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 1296288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109744).

1296288 is an abundant number, since it is smaller than the sum of its proper divisors (2923200).

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

1296288 is a wasteful number, since it uses less digits than its factorization.

1296288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 655 counting only the distinct ones).

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

The square root of 1296288 is about 1138.5464417405. The cubic root of 1296288 is about 109.0353110633.

It can be divided in two parts, 1296 and 288, that multiplied together give a cube (373248 = 72³).

The spelling of 1296288 in words is "one million, two hundred ninety-six thousand, two hundred eighty-eight".