1273680 has 120 divisors (see below), whose sum is σ = 4497480. Its totient is φ = 322560.

The previous prime is 1273673. The next prime is 1273681. The reversal of 1273680 is 863721.

1273680 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 1272384 = 36^2 + 1128^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1273681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20850 + ... + 20910.

It is an arithmetic number, because the mean of its divisors is an integer number (37479).

2^1273680 is an apocalyptic number.

1273680 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 1273680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248740).

1273680 is an abundant number, since it is smaller than the sum of its proper divisors (3223800).

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

1273680 is a wasteful number, since it uses less digits than its factorization.

1273680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1273680 is about 1128.5743218769. The cubic root of 1273680 is about 108.3977105856.

It can be divided in two parts, 1273 and 680, that added together give a triangular number (1953 = T₆₂).

The spelling of 1273680 in words is "one million, two hundred seventy-three thousand, six hundred eighty".