2607120832 has 112 divisors (see below), whose sum is σ = 5543165952. Its totient is φ = 1214576640.

The previous prime is 2607120811. The next prime is 2607120847. The reversal of 2607120832 is 2380217062.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 2607120794 and 2607120803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6806913 + ... + 6807295.

Almost surely, 2^2607120832 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 2607120832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771582976).

2607120832 is an abundant number, since it is smaller than the sum of its proper divisors (2936045120).

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

2607120832 is a wasteful number, since it uses less digits than its factorization.

2607120832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 2607120832 is about 51059.9728946266. The cubic root of 2607120832 is about 1376.3230605252.

Adding to 2607120832 its reverse (2380217062), we get a palindrome (4987337894).

The spelling of 2607120832 in words is "two billion, six hundred seven million, one hundred twenty thousand, eight hundred thirty-two".