1352768 has 28 divisors (see below), whose sum is σ = 2804160. Its totient is φ = 646272.

The previous prime is 1352761. The next prime is 1352773. The reversal of 1352768 is 8672531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 1 + 3 + 5⁵ + 2¹⁹ + 7⁷ + 6⁴ + 8³ .

It is not an unprimeable number, because it can be changed into a prime (1352761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1013 + ... + 1931.

2^1352768 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 1352768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402080).

1352768 is an abundant number, since it is smaller than the sum of its proper divisors (1451392).

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

1352768 is an equidigital number, since it uses as much as digits as its factorization.

1352768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 944 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 1352768 is about 1163.0855514535. The cubic root of 1352768 is about 110.5964296824.

It can be divided in two parts, 135 and 2768, that multiplied together give a triangular number (373680 = T₈₆₄).

The spelling of 1352768 in words is "one million, three hundred fifty-two thousand, seven hundred sixty-eight".