1257216 has 36 divisors (see below), whose sum is σ = 3348072. Its totient is φ = 418816.

The previous prime is 1257209. The next prime is 1257229. The reversal of 1257216 is 6127521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51 + ... + 1586.

It is an arithmetic number, because the mean of its divisors is an integer number (93002).

2^1257216 is an apocalyptic number.

1257216 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 1257216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674036).

1257216 is an abundant number, since it is smaller than the sum of its proper divisors (2090856).

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

1257216 is an equidigital number, since it uses as much as digits as its factorization.

1257216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1642 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 1257216 is about 1121.2564381086. The cubic root of 1257216 is about 107.9286222466.

The spelling of 1257216 in words is "one million, two hundred fifty-seven thousand, two hundred sixteen".