2623120 has 20 divisors (see below), whose sum is σ = 6098940. Its totient is φ = 1049216.

The previous prime is 2623111. The next prime is 2623123. The reversal of 2623120 is 213262.

It can be written as a sum of positive squares in 2 ways, for example, as 1115136 + 1507984 = 1056^2 + 1228^2 .

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 (16).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2623094 and 2623103.

It is not an unprimeable number, because it can be changed into a prime (2623123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16315 + ... + 16474.

It is an arithmetic number, because the mean of its divisors is an integer number (304947).

2^2623120 is an apocalyptic number.

2623120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2623120 is an abundant number, since it is smaller than the sum of its proper divisors (3475820).

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

2623120 is a wasteful number, since it uses less digits than its factorization.

2623120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32802 (or 32796 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2623120 is about 1619.6048900889. The cubic root of 2623120 is about 137.9132690338.

Adding to 2623120 its reverse (213262), we get a palindrome (2836382).

The spelling of 2623120 in words is "two million, six hundred twenty-three thousand, one hundred twenty".