6105083940 has 96 divisors (see below), whose sum is σ = 19007842560. Its totient is φ = 1626801408.

The previous prime is 6105083903. The next prime is 6105083947. The reversal of 6105083940 is 493805016.

6105083940 is a `hidden beast` number, since 61 + 0 + 508 + 3 + 94 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6105083895 and 6105083904.

It is not an unprimeable number, because it can be changed into a prime (6105083947) 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, 891369 + ... + 898191.

It is an arithmetic number, because the mean of its divisors is an integer number (197998360).

Almost surely, 2^6105083940 is an apocalyptic number.

6105083940 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 6105083940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9503921280).

6105083940 is an abundant number, since it is smaller than the sum of its proper divisors (12902758620).

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

6105083940 is a wasteful number, since it uses less digits than its factorization.

6105083940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8498 (or 8490 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6105083940 is about 78135.0365713103. The cubic root of 6105083940 is about 1827.6676009655.

Adding to 6105083940 its reverse (493805016), we get a palindrome (6598888956).

The spelling of 6105083940 in words is "six billion, one hundred five million, eighty-three thousand, nine hundred forty".