1009720960 has 32 divisors (see below), whose sum is σ = 2413865700. Its totient is φ = 403888128.

The previous prime is 1009720951. The next prime is 1009720961. The reversal of 1009720960 is 690279001.

It can be written as a sum of positive squares in 2 ways, for example, as 920758336 + 88962624 = 30344^2 + 9432^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (1009720961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 788205 + ... + 789484.

Almost surely, 2^1009720960 is an apocalyptic number.

1009720960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009720960 is an abundant number, since it is smaller than the sum of its proper divisors (1404144740).

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

1009720960 is an equidigital number, since it uses as much as digits as its factorization.

1009720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577708 (or 1577696 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 1009720960 is about 31776.1067470513. The cubic root of 1009720960 is about 1003.2298766653.

Adding to 1009720960 its reverse (690279001), we get a palindrome (1699999961).

The spelling of 1009720960 in words is "one billion, nine million, seven hundred twenty thousand, nine hundred sixty".