7642120 has 32 divisors (see below), whose sum is σ = 17752320. Its totient is φ = 2957760.

The previous prime is 7642111. The next prime is 7642121. The reversal of 7642120 is 212467.

It is a junction number, because it is equal to n+sod(n) for n = 7642091 and 7642100.

It is not an unprimeable number, because it can be changed into a prime (7642121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1842 + ... + 4321.

It is an arithmetic number, because the mean of its divisors is an integer number (554760).

Almost surely, 2^7642120 is an apocalyptic number.

It is an amenable number.

7642120 is an abundant number, since it is smaller than the sum of its proper divisors (10110200).

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

7642120 is a wasteful number, since it uses less digits than its factorization.

7642120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6205 (or 6201 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 7642120 is about 2764.4384601579. The cubic root of 7642120 is about 196.9720557819.

Adding to 7642120 its reverse (212467), we get a palindrome (7854587).

The spelling of 7642120 in words is "seven million, six hundred forty-two thousand, one hundred twenty".