2607672 has 32 divisors (see below), whose sum is σ = 6566400. Its totient is φ = 862944.

The previous prime is 2607659. The next prime is 2607673. The reversal of 2607672 is 2767062.

2607672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2607673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3993 + ... + 4599.

It is an arithmetic number, because the mean of its divisors is an integer number (205200).

2^2607672 is an apocalyptic number.

It is an amenable number.

2607672 is an abundant number, since it is smaller than the sum of its proper divisors (3958728).

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

2607672 is a wasteful number, since it uses less digits than its factorization.

2607672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 2607672 is about 1614.8287834938. The cubic root of 2607672 is about 137.6420042576.

The spelling of 2607672 in words is "two million, six hundred seven thousand, six hundred seventy-two".