7120896 has 96 divisors (see below), whose sum is σ = 20311200. Its totient is φ = 2211840.

The previous prime is 7120891. The next prime is 7120903. The reversal of 7120896 is 6980217.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (7120891) 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 7 ways as a sum of consecutive naturals, for example, 116706 + ... + 116766.

It is an arithmetic number, because the mean of its divisors is an integer number (211575).

Almost surely, 2^7120896 is an apocalyptic number.

7120896 is a gapful number since it is divisible by the number (76) 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 7120896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10155600).

7120896 is an abundant number, since it is smaller than the sum of its proper divisors (13190304).

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

7120896 is a wasteful number, since it uses less digits than its factorization.

7120896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 7120896 is about 2668.5007026418. The cubic root of 7120896 is about 192.3881038572.

The spelling of 7120896 in words is "seven million, one hundred twenty thousand, eight hundred ninety-six".