1257768 has 48 divisors (see below), whose sum is σ = 3538080. Its totient is φ = 418608.

The previous prime is 1257749. The next prime is 1257787. The reversal of 1257768 is 8677521.

It is an interprime number because it is at equal distance from previous prime (1257749) and next prime (1257787).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1621 + ... + 2267.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

2^1257768 is an apocalyptic number.

1257768 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 1257768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769040).

1257768 is an abundant number, since it is smaller than the sum of its proper divisors (2280312).

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

1257768 is an equidigital number, since it uses as much as digits as its factorization.

1257768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 652 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 1257768 is about 1121.5025635281. The cubic root of 1257768 is about 107.9444158420.

It can be divided in two parts, 1257 and 768, that added together give a square (2025 = 45²).

The spelling of 1257768 in words is "one million, two hundred fifty-seven thousand, seven hundred sixty-eight".