2627120 has 20 divisors (see below), whose sum is σ = 6108240. Its totient is φ = 1050816.

The previous prime is 2627117. The next prime is 2627123. The reversal of 2627120 is 217262.

It is an interprime number because it is at equal distance from previous prime (2627117) and next prime (2627123).

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2627092 and 2627101.

It is not an unprimeable number, because it can be changed into a prime (2627123) 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, 16340 + ... + 16499.

It is an arithmetic number, because the mean of its divisors is an integer number (305412).

2^2627120 is an apocalyptic number.

2627120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2627120 is an abundant number, since it is smaller than the sum of its proper divisors (3481120).

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

2627120 is a wasteful number, since it uses less digits than its factorization.

2627120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32852 (or 32846 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 2627120 is about 1620.8392887637. The cubic root of 2627120 is about 137.9833348216.

The spelling of 2627120 in words is "two million, six hundred twenty-seven thousand, one hundred twenty".