6090106176 has 840 divisors, whose sum is σ = 24198722240. Its totient is φ = 1478062080.

The previous prime is 6090106133. The next prime is 6090106177. The reversal of 6090106176 is 6716010906.

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

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 6090106176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6090106177) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 83426076 + ... + 83426148.

Almost surely, 2^6090106176 is an apocalyptic number.

6090106176 is a gapful number since it is divisible by the number (66) 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 6090106176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12099361120).

6090106176 is an abundant number, since it is smaller than the sum of its proper divisors (18108616064).

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

6090106176 is a wasteful number, since it uses less digits than its factorization.

6090106176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 6090106176 is about 78039.1323375651. The cubic root of 6090106176 is about 1826.1717552671.

The spelling of 6090106176 in words is "six billion, ninety million, one hundred six thousand, one hundred seventy-six".