166065984 has 112 divisors (see below), whose sum is σ = 557987200. Its totient is φ = 47443968.

The previous prime is 166065983. The next prime is 166065989. The reversal of 166065984 is 489560661.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×166065984² = 55155822083776512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166065983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5232 + ... + 18960.

Almost surely, 2^166065984 is an apocalyptic number.

166065984 is a gapful number since it is divisible by the number (14) 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 166065984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278993600).

166065984 is an abundant number, since it is smaller than the sum of its proper divisors (391921216).

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

166065984 is a wasteful number, since it uses less digits than its factorization.

166065984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13757 (or 13741 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 166065984 is about 12886.6591481268. The cubic root of 166065984 is about 549.6592754664.

The spelling of 166065984 in words is "one hundred sixty-six million, sixty-five thousand, nine hundred eighty-four".