2907680 has 48 divisors (see below), whose sum is σ = 7280280. Its totient is φ = 1093632.

The previous prime is 2907677. The next prime is 2907691. The reversal of 2907680 is 867092.

It can be written as a sum of positive squares in 4 ways, for example, as 2598544 + 309136 = 1612^2 + 556^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2186 + ... + 3254.

2^2907680 is an apocalyptic number.

2907680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2907680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640140).

2907680 is an abundant number, since it is smaller than the sum of its proper divisors (4372600).

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

2907680 is a wasteful number, since it uses less digits than its factorization.

2907680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 2907680 is about 1705.1920712928. The cubic root of 2907680 is about 142.7300889394.

The spelling of 2907680 in words is "two million, nine hundred seven thousand, six hundred eighty".