7561120 has 96 divisors (see below), whose sum is σ = 21022848. Its totient is φ = 2515968.

The previous prime is 7561093. The next prime is 7561123. The reversal of 7561120 is 211657.

It is a junction number, because it is equal to n+sod(n) for n = 7561091 and 7561100.

It is not an unprimeable number, because it can be changed into a prime (7561123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48082 + ... + 48238.

It is an arithmetic number, because the mean of its divisors is an integer number (218988).

Almost surely, 2^7561120 is an apocalyptic number.

7561120 is a gapful number since it is divisible by the number (70) 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 7561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10511424).

7561120 is an abundant number, since it is smaller than the sum of its proper divisors (13461728).

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

7561120 is a wasteful number, since it uses less digits than its factorization.

7561120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 7561120 is about 2749.7490794616. The cubic root of 7561120 is about 196.2736701811.

Adding to 7561120 its reverse (211657), we get a palindrome (7772777).

The spelling of 7561120 in words is "seven million, five hundred sixty-one thousand, one hundred twenty".