1006632720 has 240 divisors, whose sum is σ = 3572449920. Its totient is φ = 253507584.

The previous prime is 1006632719. The next prime is 1006632811. The reversal of 1006632720 is 272366001.

It is a happy number.

1006632720 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 632 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1473499 + ... + 1474181.

It is an arithmetic number, because the mean of its divisors is an integer number (14885208).

Almost surely, 2^1006632720 is an apocalyptic number.

1006632720 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 1006632720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786224960).

1006632720 is an abundant number, since it is smaller than the sum of its proper divisors (2565817200).

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

1006632720 is a wasteful number, since it uses less digits than its factorization.

1006632720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 805 counting only the distinct ones).

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

The square root of 1006632720 is about 31727.4757899206. The cubic root of 1006632720 is about 1002.2060364910.

Adding to 1006632720 its reverse (272366001), we get a palindrome (1278998721).

The spelling of 1006632720 in words is "one billion, six million, six hundred thirty-two thousand, seven hundred twenty".