166173984 has 96 divisors (see below), whose sum is σ = 496601280. Its totient is φ = 54028800.

The previous prime is 166173983. The next prime is 166173991. The reversal of 166173984 is 489371661.

It is a happy number.

166173984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×166173984² = 55227585916864512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (166173983) 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, 33079 + ... + 37769.

It is an arithmetic number, because the mean of its divisors is an integer number (5172930).

Almost surely, 2^166173984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166173984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248300640).

166173984 is an abundant number, since it is smaller than the sum of its proper divisors (330427296).

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

166173984 is a wasteful number, since it uses less digits than its factorization.

166173984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4751 (or 4737 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 166173984 is about 12890.8488471473. The cubic root of 166173984 is about 549.7784054976.

The spelling of 166173984 in words is "one hundred sixty-six million, one hundred seventy-three thousand, nine hundred eighty-four".