166884480 has 192 divisors, whose sum is σ = 658756800. Its totient is φ = 38135808.

The previous prime is 166884479. The next prime is 166884491. The reversal of 166884480 is 84488661.

166884480 is a `hidden beast` number, since 166 + 8 + 8 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38251 + ... + 42389.

It is an arithmetic number, because the mean of its divisors is an integer number (3431025).

Almost surely, 2^166884480 is an apocalyptic number.

166884480 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 166884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329378400).

166884480 is an abundant number, since it is smaller than the sum of its proper divisors (491872320).

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

166884480 is a wasteful number, since it uses less digits than its factorization.

166884480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4171 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 166884480 is about 12918.3776071146. The cubic root of 166884480 is about 550.5608383836.

The spelling of 166884480 in words is "one hundred sixty-six million, eight hundred eighty-four thousand, four hundred eighty".