8115120 has 240 divisors, whose sum is σ = 31977120. Its totient is φ = 1880064.

The previous prime is 8115119. The next prime is 8115131. The reversal of 8115120 is 215118.

8115120 = 488² + 489² + ... + 519².

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×8115120² = 131710345228800, 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 = 8115093 and 8115102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477352 + ... + 477368.

It is an arithmetic number, because the mean of its divisors is an integer number (133238).

Almost surely, 2^8115120 is an apocalyptic number.

8115120 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 8115120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15988560).

8115120 is an abundant number, since it is smaller than the sum of its proper divisors (23862000).

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

8115120 is a wasteful number, since it uses less digits than its factorization.

8115120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 8115120 is about 2848.7049689289. The cubic root of 8115120 is about 200.9547681691.

The spelling of 8115120 in words is "eight million, one hundred fifteen thousand, one hundred twenty".