1267000 has 64 divisors (see below), whose sum is σ = 3407040. Its totient is φ = 432000.

The previous prime is 1266953. The next prime is 1267009. The reversal of 1267000 is 7621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1267009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6910 + ... + 7090.

It is an arithmetic number, because the mean of its divisors is an integer number (53235).

2^1267000 is an apocalyptic number.

1267000 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 1267000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703520).

1267000 is an abundant number, since it is smaller than the sum of its proper divisors (2140040).

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

1267000 is a wasteful number, since it uses less digits than its factorization.

1267000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 1267000 is about 1125.6109452204. The cubic root of 1267000 is about 108.2078758063.

The spelling of 1267000 in words is "one million, two hundred sixty-seven thousand".