8459120 has 40 divisors (see below), whose sum is σ = 20154960. Its totient is φ = 3299840.

The previous prime is 8459119. The next prime is 8459131. The reversal of 8459120 is 219548.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×8459120² = 143113422348800, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1991 + ... + 4569.

It is an arithmetic number, because the mean of its divisors is an integer number (503874).

Almost surely, 2^8459120 is an apocalyptic number.

8459120 is a gapful number since it is divisible by the number (80) 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 8459120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10077480).

8459120 is an abundant number, since it is smaller than the sum of its proper divisors (11695840).

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

8459120 is a wasteful number, since it uses less digits than its factorization.

8459120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 8459120 is about 2908.4566353996. The cubic root of 8459120 is about 203.7550565195.

The spelling of 8459120 in words is "eight million, four hundred fifty-nine thousand, one hundred twenty".