1001048616 has 72 divisors (see below), whose sum is σ = 2788998030. Its totient is φ = 324134784.

The previous prime is 1001048597. The next prime is 1001048617. The reversal of 1001048616 is 6168401001.

1001048616 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 48 + 616 = 666.

1001048616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 393228900 + 607819716 = 19830^2 + 24654^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1001048616.

It is not an unprimeable number, because it can be changed into a prime (1001048617) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1632726 + ... + 1633338.

Almost surely, 2^1001048616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001048616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394499015).

1001048616 is an abundant number, since it is smaller than the sum of its proper divisors (1787949414).

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

1001048616 is an equidigital number, since it uses as much as digits as its factorization.

1001048616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1001048616 is about 31639.3523321828. The cubic root of 1001048616 is about 1000.3494165605.

Adding to 1001048616 its reverse (6168401001), we get a palindrome (7169449617).

The spelling of 1001048616 in words is "one billion, one million, forty-eight thousand, six hundred sixteen".