1006720 has 96 divisors (see below), whose sum is σ = 2848860. Its totient is φ = 337920.

The previous prime is 1006711. The next prime is 1006721. The reversal of 1006720 is 276001.

It can be written as a sum of positive squares in 2 ways, for example, as 937024 + 69696 = 968^2 + 264^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1006694 and 1006703.

It is not an unprimeable number, because it can be changed into a prime (1006721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77434 + ... + 77446.

2^1006720 is an apocalyptic number.

1006720 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 1006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424430).

1006720 is an abundant number, since it is smaller than the sum of its proper divisors (1842140).

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

1006720 is a wasteful number, since it uses less digits than its factorization.

1006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 1006720 is about 1003.3543740872. The cubic root of 1006720 is about 100.2235001049.

The spelling of 1006720 in words is "one million, six thousand, seven hundred twenty".