1006720000 has 330 divisors, whose sum is σ = 2976792434. Its totient is φ = 337920000.

The previous prime is 1006719979. The next prime is 1006720003. The reversal of 1006720000 is 276001.

It can be written as a sum of positive squares in 5 ways, for example, as 589906944 + 416813056 = 24288^2 + 20416^2 .

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006720003) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 77439994 + ... + 77440006.

Almost surely, 2^1006720000 is an apocalyptic number.

1006720000 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 1006720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488396217).

1006720000 is an abundant number, since it is smaller than the sum of its proper divisors (1970072434).

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

1006720000 is an equidigital number, since it uses as much as digits as its factorization.

1006720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 31 counting only the distinct ones).

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

The square root of 1006720000 is about 31728.8512240831. The cubic root of 1006720000 is about 1002.2350010489.

Adding to 1006720000 its reverse (276001), we get a palindrome (1006996001).

The spelling of 1006720000 in words is "one billion, six million, seven hundred twenty thousand".