1257360 has 120 divisors (see below), whose sum is σ = 4356864. Its totient is φ = 299520.

The previous prime is 1257359. The next prime is 1257397. The reversal of 1257360 is 637521.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a d-powerful number, because it can be written as 1 + 2¹⁷ + 5⁵ + 7⁷ + 3⁹ + 6⁷ + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 1257360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40545 + ... + 40575.

2^1257360 is an apocalyptic number.

1257360 is a gapful number since it is divisible by the number (10) 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 1257360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178432).

1257360 is an abundant number, since it is smaller than the sum of its proper divisors (3099504).

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

1257360 is a wasteful number, since it uses less digits than its factorization.

1257360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 1257360 is about 1121.3206499481. The cubic root of 1257360 is about 107.9327427606.

The spelling of 1257360 in words is "one million, two hundred fifty-seven thousand, three hundred sixty".