1270672 has 40 divisors (see below), whose sum is σ = 2734200. Its totient is φ = 568320.

The previous prime is 1270669. The next prime is 1270679. The reversal of 1270672 is 2760721.

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 1157776 = 336^2 + 1076^2 .

It is a super-2 number, since 2×1270672² = 3229214663168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) 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 (1270679) 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, 8454 + ... + 8602.

It is an arithmetic number, because the mean of its divisors is an integer number (68355).

2^1270672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1270672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367100).

1270672 is an abundant number, since it is smaller than the sum of its proper divisors (1463528).

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

1270672 is a wasteful number, since it uses less digits than its factorization.

1270672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 1270672 is about 1127.2408793155. The cubic root of 1270672 is about 108.3123104505.

The spelling of 1270672 in words is "one million, two hundred seventy thousand, six hundred seventy-two".