1267640 has 64 divisors (see below), whose sum is σ = 3231360. Its totient is φ = 443520.

The previous prime is 1267633. The next prime is 1267649. The reversal of 1267640 is 467621.

1267640 = T₆₅ + T₆₆ + ... + T₁₉₈.

It is a super-2 number, since 2×1267640² = 3213822339200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1267649) 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, 18887 + ... + 18953.

It is an arithmetic number, because the mean of its divisors is an integer number (50490).

2^1267640 is an apocalyptic number.

1267640 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 1267640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615680).

1267640 is an abundant number, since it is smaller than the sum of its proper divisors (1963720).

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

1267640 is a wasteful number, since it uses less digits than its factorization.

1267640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 1267640 is about 1125.8951993858. The cubic root of 1267640 is about 108.2260924291.

The spelling of 1267640 in words is "one million, two hundred sixty-seven thousand, six hundred forty".