1914166080 has 140 divisors (see below), whose sum is σ = 6809117700. Its totient is φ = 510437376.

The previous prime is 1914166061. The next prime is 1914166091. The reversal of 1914166080 is 806614191.

It is a happy number.

1914166080 is a `hidden beast` number, since 1 + 9 + 1 + 41 + 6 + 608 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1249763904 + 664402176 = 35352^2 + 25776^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11005 + ... + 62844.

It is an arithmetic number, because the mean of its divisors is an integer number (48636555).

Almost surely, 2^1914166080 is an apocalyptic number.

1914166080 is a gapful number since it is divisible by the number (10) 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 1914166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404558850).

1914166080 is an abundant number, since it is smaller than the sum of its proper divisors (4894951620).

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

1914166080 is an equidigital number, since it uses as much as digits as its factorization.

1914166080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73878 (or 73859 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1914166080 is about 43751.1837554140. The cubic root of 1914166080 is about 1241.6328817637.

The spelling of 1914166080 in words is "one billion, nine hundred fourteen million, one hundred sixty-six thousand, eighty".