1006320 has 80 divisors (see below), whose sum is σ = 3571200. Its totient is φ = 229632.

The previous prime is 1006309. The next prime is 1006331. The reversal of 1006320 is 236001.

It is an interprime number because it is at equal distance from previous prime (1006309) and next prime (1006331).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 1006296 and 1006305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1381 + ... + 1979.

It is an arithmetic number, because the mean of its divisors is an integer number (44640).

2^1006320 is an apocalyptic number.

1006320 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 1006320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785600).

1006320 is an abundant number, since it is smaller than the sum of its proper divisors (2564880).

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

1006320 is a wasteful number, since it uses less digits than its factorization.

1006320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1006320 is about 1003.1550229152. The cubic root of 1006320 is about 100.2102244139.

It can be divided in two parts, 1006 and 320, that added together give a triangular number (1326 = T₅₁).

The spelling of 1006320 in words is "one million, six thousand, three hundred twenty".