1267920 has 80 divisors (see below), whose sum is σ = 4374720. Its totient is φ = 337536.

The previous prime is 1267907. The next prime is 1267933. The reversal of 1267920 is 297621.

It is an interprime number because it is at equal distance from previous prime (1267907) and next prime (1267933).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1267920² = 3215242252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1867 + ... + 2453.

It is an arithmetic number, because the mean of its divisors is an integer number (54684).

2^1267920 is an apocalyptic number.

1267920 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 1267920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187360).

1267920 is an abundant number, since it is smaller than the sum of its proper divisors (3106800).

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

1267920 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (1267919) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (609).

1267920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1267920 is about 1126.0195380188. The cubic root of 1267920 is about 108.2340602736.

Subtracting from 1267920 its reverse (297621), we obtain a cube (970299 = 99³).

It can be divided in two parts, 1267 and 920, that added together give a 7-th power (2187 = 3⁷).

The spelling of 1267920 in words is "one million, two hundred sixty-seven thousand, nine hundred twenty".