6610506120 has 128 divisors (see below), whose sum is σ = 22345632000. Its totient is φ = 1737953280.

The previous prime is 6610506109. The next prime is 6610506127. The reversal of 6610506120 is 216050166.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6610506127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33576 + ... + 119784.

It is an arithmetic number, because the mean of its divisors is an integer number (174575250).

Almost surely, 2^6610506120 is an apocalyptic number.

6610506120 is a gapful number since it is divisible by the number (60) 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 6610506120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11172816000).

6610506120 is an abundant number, since it is smaller than the sum of its proper divisors (15735125880).

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

6610506120 is a wasteful number, since it uses less digits than its factorization.

6610506120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86300 (or 86290 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 6610506120 is about 81305.0190332676. The cubic root of 6610506120 is about 1876.7722379643.

Adding to 6610506120 its reverse (216050166), we get a palindrome (6826556286).

The spelling of 6610506120 in words is "six billion, six hundred ten million, five hundred six thousand, one hundred twenty".