9015120 has 120 divisors (see below), whose sum is σ = 31917600. Its totient is φ = 2274048.

The previous prime is 9015119. The next prime is 9015131. The reversal of 9015120 is 215109.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×9015120² = 162544777228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 9015093 and 9015102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13351 + ... + 14009.

It is an arithmetic number, because the mean of its divisors is an integer number (265980).

Almost surely, 2^9015120 is an apocalyptic number.

9015120 is a gapful number since it is divisible by the number (90) 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 9015120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15958800).

9015120 is an abundant number, since it is smaller than the sum of its proper divisors (22902480).

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

9015120 is a wasteful number, since it uses less digits than its factorization.

9015120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 9015120 is about 3002.5189424881. The cubic root of 9015120 is about 208.1248018287.

The spelling of 9015120 in words is "nine million, fifteen thousand, one hundred twenty".