1270368 has 72 divisors (see below), whose sum is σ = 3950856. Its totient is φ = 384000.

The previous prime is 1270361. The next prime is 1270391. The reversal of 1270368 is 8630721.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1270368² = 3227669710848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1270361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2968 + ... + 3368.

It is an arithmetic number, because the mean of its divisors is an integer number (54873).

2^1270368 is an apocalyptic number.

1270368 is a gapful number since it is divisible by the number (18) 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 1270368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975428).

1270368 is an abundant number, since it is smaller than the sum of its proper divisors (2680488).

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

1270368 is a wasteful number, since it uses less digits than its factorization.

1270368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1270368 is about 1127.1060287302. The cubic root of 1270368 is about 108.3036720900.

Adding to 1270368 its product of nonzero digits (2016), we get a square (1272384 = 1128²).

The spelling of 1270368 in words is "one million, two hundred seventy thousand, three hundred sixty-eight".