8815120 has 40 divisors (see below), whose sum is σ = 20623680. Its totient is φ = 3504000.

The previous prime is 8815117. The next prime is 8815127. The reversal of 8815120 is 215188.

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

It is a super-2 number, since 2×8815120² = 155412681228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8815127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19861 + ... + 20299.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 2^8815120 is an apocalyptic number.

8815120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8815120 is an abundant number, since it is smaller than the sum of its proper divisors (11808560).

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

8815120 is a wasteful number, since it uses less digits than its factorization.

8815120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 8815120 is about 2969.0267765717. The cubic root of 8815120 is about 206.5741984299.

The spelling of 8815120 in words is "eight million, eight hundred fifteen thousand, one hundred twenty".