1267680 has 96 divisors (see below), whose sum is σ = 4233600. Its totient is φ = 317952.

The previous prime is 1267663. The next prime is 1267681. The reversal of 1267680 is 867621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1267681) 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 15 ways as a sum of consecutive naturals, for example, 9051 + ... + 9189.

It is an arithmetic number, because the mean of its divisors is an integer number (44100).

2^1267680 is an apocalyptic number.

1267680 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 1267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116800).

1267680 is an abundant number, since it is smaller than the sum of its proper divisors (2965920).

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

1267680 is a wasteful number, since it uses less digits than its factorization.

1267680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1267680 is about 1125.9129628883. The cubic root of 1267680 is about 108.2272307644.

The spelling of 1267680 in words is "one million, two hundred sixty-seven thousand, six hundred eighty".