2967680 has 32 divisors (see below), whose sum is σ = 7096140. Its totient is φ = 1186816.

The previous prime is 2967649. The next prime is 2967689. The reversal of 2967680 is 867692.

It can be written as a sum of positive squares in 2 ways, for example, as 2849344 + 118336 = 1688^2 + 344^2 .

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

It is a d-powerful number, because it can be written as 2⁵ + 9² + 6³ + 7⁷ + 6⁶ + 8⁷ + 0 .

It is not an unprimeable number, because it can be changed into a prime (2967689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1679 + ... + 2958.

2^2967680 is an apocalyptic number.

2967680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2967680 is an abundant number, since it is smaller than the sum of its proper divisors (4128460).

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

2967680 is an equidigital number, since it uses as much as digits as its factorization.

2967680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4656 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 2967680 is about 1722.6955621932. The cubic root of 2967680 is about 143.7051580360.

Subtracting from 2967680 its product of nonzero digits (36288), we obtain a palindrome (2931392).

The spelling of 2967680 in words is "two million, nine hundred sixty-seven thousand, six hundred eighty".