6115120 has 40 divisors (see below), whose sum is σ = 15512400. Its totient is φ = 2223360.

The previous prime is 6115111. The next prime is 6115127. The reversal of 6115120 is 215116.

It is a happy number.

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

It is a super-2 number, since 2×6115120² = 74789385228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 6115094 and 6115103.

It is not an unprimeable number, because it can be changed into a prime (6115127) 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, 2595 + ... + 4354.

It is an arithmetic number, because the mean of its divisors is an integer number (387810).

Almost surely, 2^6115120 is an apocalyptic number.

It is an amenable number.

6115120 is an abundant number, since it is smaller than the sum of its proper divisors (9397280).

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

6115120 is a wasteful number, since it uses less digits than its factorization.

6115120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6973 (or 6967 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 6115120 is about 2472.8768671327. The cubic root of 6115120 is about 182.8668544879.

The spelling of 6115120 in words is "six million, one hundred fifteen thousand, one hundred twenty".