166883424 has 96 divisors (see below), whose sum is σ = 466754400. Its totient is φ = 52027392.

The previous prime is 166883419. The next prime is 166883443. The reversal of 166883424 is 424388661.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478002 + ... + 478350.

It is an arithmetic number, because the mean of its divisors is an integer number (4862025).

Almost surely, 2^166883424 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 166883424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233377200).

166883424 is an abundant number, since it is smaller than the sum of its proper divisors (299870976).

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

166883424 is a wasteful number, since it uses less digits than its factorization.

166883424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 664 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 166883424 is about 12918.3367350445. The cubic root of 166883424 is about 550.5596771143.

The spelling of 166883424 in words is "one hundred sixty-six million, eight hundred eighty-three thousand, four hundred twenty-four".