2955680 has 144 divisors (see below), whose sum is σ = 9049320. Its totient is φ = 903168.

The previous prime is 2955653. The next prime is 2955683. The reversal of 2955680 is 865592.

It can be written as a sum of positive squares in 4 ways, for example, as 1882384 + 1073296 = 1372^2 + 1036^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2955680.

It is not an unprimeable number, because it can be changed into a prime (2955683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101906 + ... + 101934.

2^2955680 is an apocalyptic number.

2955680 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 2955680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4524660).

2955680 is an abundant number, since it is smaller than the sum of its proper divisors (6093640).

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

2955680 is a wasteful number, since it uses less digits than its factorization.

2955680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 2955680 is about 1719.2091204970. The cubic root of 2955680 is about 143.5112027740.

2955680 divided by its sum of digits (35) gives a palindrome (84448).

The spelling of 2955680 in words is "two million, nine hundred fifty-five thousand, six hundred eighty".