1312640 has 64 divisors (see below), whose sum is σ = 3598560. Its totient is φ = 448512.

The previous prime is 1312637. The next prime is 1312657. The reversal of 1312640 is 462131.

1312640 = 62³ + 63³ + ... + 66³.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4334 + ... + 4626.

2^1312640 is an apocalyptic number.

1312640 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 1312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799280).

1312640 is an abundant number, since it is smaller than the sum of its proper divisors (2285920).

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

1312640 is an equidigital number, since it uses as much as digits as its factorization.

1312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1312640 is about 1145.7050231190. The cubic root of 1312640 is about 109.4918712647.

Adding to 1312640 its reverse (462131), we get a palindrome (1774771).

The spelling of 1312640 in words is "one million, three hundred twelve thousand, six hundred forty".