1307664 has 50 divisors (see below), whose sum is σ = 3788510. Its totient is φ = 435456.

The previous prime is 1307651. The next prime is 1307671. The reversal of 1307664 is 4667031.

It can be written as a sum of positive squares in only one way, i.e., 1016064 + 291600 = 1008^2 + 540^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 792 + ... + 1800.

2^1307664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894255).

1307664 is an abundant number, since it is smaller than the sum of its proper divisors (2480846).

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

1307664 is a wasteful number, since it uses less digits than its factorization.

1307664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1307664 is about 1143.5313725473. The cubic root of 1307664 is about 109.3533409085.

The spelling of 1307664 in words is "one million, three hundred seven thousand, six hundred sixty-four".