9415120 has 80 divisors (see below), whose sum is σ = 25748352. Its totient is φ = 3156480.

The previous prime is 9415033. The next prime is 9415121. The reversal of 9415120 is 215149.

9415120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×9415120² = 177288969228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 9415091 and 9415100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9415121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11029 + ... + 11851.

Almost surely, 2^9415120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9415120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12874176).

9415120 is an abundant number, since it is smaller than the sum of its proper divisors (16333232).

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

9415120 is a wasteful number, since it uses less digits than its factorization.

9415120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 9415120 is about 3068.4067526976. The cubic root of 9415120 is about 211.1585251050.

The spelling of 9415120 in words is "nine million, four hundred fifteen thousand, one hundred twenty".