166385376 has 144 divisors (see below), whose sum is σ = 490613760. Its totient is φ = 53464320.

The previous prime is 166385357. The next prime is 166385389. The reversal of 166385376 is 673583661.

166385376 is a `hidden beast` number, since 1 + 6 + 638 + 5 + 3 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×166385376² = 55368186693322752, which contains 22 as substring.

It is a congruent number.

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, 1615341 + ... + 1615443.

It is an arithmetic number, because the mean of its divisors is an integer number (3407040).

Almost surely, 2^166385376 is an apocalyptic number.

166385376 is a gapful number since it is divisible by the number (16) 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 166385376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245306880).

166385376 is an abundant number, since it is smaller than the sum of its proper divisors (324228384).

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

166385376 is a wasteful number, since it uses less digits than its factorization.

166385376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 258 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 166385376 is about 12899.0455460860. The cubic root of 166385376 is about 550.0114333711.

The spelling of 166385376 in words is "one hundred sixty-six million, three hundred eighty-five thousand, three hundred seventy-six".