1272960 has 192 divisors, whose sum is σ = 5012280. Its totient is φ = 294912.

The previous prime is 1272941. The next prime is 1272961. The reversal of 1272960 is 692721.

It can be written as a sum of positive squares in 4 ways, for example, as 968256 + 304704 = 984^2 + 552^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (1272961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74872 + ... + 74888.

2^1272960 is an apocalyptic number.

1272960 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 1272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506140).

1272960 is an abundant number, since it is smaller than the sum of its proper divisors (3739320).

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

1272960 is a wasteful number, since it uses less digits than its factorization.

1272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1272960 is about 1128.2552902601. The cubic root of 1272960 is about 108.3772813143.

The spelling of 1272960 in words is "one million, two hundred seventy-two thousand, nine hundred sixty".