166074768 has 120 divisors (see below), whose sum is σ = 496173600. Its totient is φ = 51674112.

The previous prime is 166074761. The next prime is 166074809. The reversal of 166074768 is 867470661.

It is a Cunningham number, because it is equal to 12887²-1.

It is not an unprimeable number, because it can be changed into a prime (166074761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438003 + ... + 438381.

It is an arithmetic number, because the mean of its divisors is an integer number (4134780).

Almost surely, 2^166074768 is an apocalyptic number.

166074768 is a gapful number since it is divisible by the number (18) 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 166074768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248086800).

166074768 is an abundant number, since it is smaller than the sum of its proper divisors (330098832).

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

166074768 is a wasteful number, since it uses less digits than its factorization.

166074768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 166074768 is about 12886.9999612012. Note that the first 4 decimals coincide. The cubic root of 166074768 is about 549.6689666382.

The spelling of 166074768 in words is "one hundred sixty-six million, seventy-four thousand, seven hundred sixty-eight".