1296000 has 160 divisors (see below), whose sum is σ = 4813380. Its totient is φ = 345600.

The previous prime is 1295993. The next prime is 1296007. The reversal of 1296000 is 6921.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (1295993) and next prime (1296007).

It can be written as a sum of positive squares in 2 ways, for example, as 876096 + 419904 = 936^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1296007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 259198 + ... + 259202.

2^1296000 is an apocalyptic number.

1296000 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 1296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406690).

1296000 is an abundant number, since it is smaller than the sum of its proper divisors (3517380).

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

1296000 is an frugal number, since it uses more digits than its factorization.

1296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1296000 is about 1138.4199576606. The cubic root of 1296000 is about 109.0272355699.

The spelling of 1296000 in words is "one million, two hundred ninety-six thousand".