1267520 has 56 divisors (see below), whose sum is σ = 3209544. Its totient is φ = 475136.

The previous prime is 1267517. The next prime is 1267529. The reversal of 1267520 is 257621.

It can be written as a sum of positive squares in 4 ways, for example, as 118336 + 1149184 = 344^2 + 1072^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1267529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5324 + ... + 5556.

2^1267520 is an apocalyptic number.

1267520 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 1267520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604772).

1267520 is an abundant number, since it is smaller than the sum of its proper divisors (1942024).

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

1267520 is a wasteful number, since it uses less digits than its factorization.

1267520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 1267520 is about 1125.8419071966. The cubic root of 1267520 is about 108.2226772795. Note that the first 3 decimals are identical.

The spelling of 1267520 in words is "one million, two hundred sixty-seven thousand, five hundred twenty".