1306624 has 52 divisors (see below), whose sum is σ = 2948760. Its totient is φ = 573440.

The previous prime is 1306601. The next prime is 1306633. The reversal of 1306624 is 4266031.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1306595 and 1306604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45042 + ... + 45070.

2^1306624 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 1306624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474380).

1306624 is an abundant number, since it is smaller than the sum of its proper divisors (1642136).

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

1306624 is an equidigital number, since it uses as much as digits as its factorization.

1306624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1306624 is about 1143.0765503675. The cubic root of 1306624 is about 109.3243432359.

The spelling of 1306624 in words is "one million, three hundred six thousand, six hundred twenty-four".