1257696 has 72 divisors (see below), whose sum is σ = 3911544. Its totient is φ = 380160.

The previous prime is 1257691. The next prime is 1257713. The reversal of 1257696 is 6967521.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 1257696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257691) 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, 2970 + ... + 3366.

It is an arithmetic number, because the mean of its divisors is an integer number (54327).

2^1257696 is an apocalyptic number.

1257696 is a gapful number since it is divisible by the number (16) 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 1257696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955772).

1257696 is an abundant number, since it is smaller than the sum of its proper divisors (2653848).

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

1257696 is a wasteful number, since it uses less digits than its factorization.

1257696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 413 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 1257696 is about 1121.4704632758. The cubic root of 1257696 is about 107.9423560699.

It can be divided in two parts, 1257 and 696, that added together give a triangular number (1953 = T₆₂).

The spelling of 1257696 in words is "one million, two hundred fifty-seven thousand, six hundred ninety-six".