166886748 has 108 divisors (see below), whose sum is σ = 496707120. Its totient is φ = 47101824.

The previous prime is 166886737. The next prime is 166886767. The reversal of 166886748 is 847688661.

It is a junction number, because it is equal to n+sod(n) for n = 166886694 and 166886703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 156465 + ... + 157527.

It is an arithmetic number, because the mean of its divisors is an integer number (4599140).

Almost surely, 2^166886748 is an apocalyptic number.

166886748 is a gapful number since it is divisible by the number (18) 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 166886748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248353560).

166886748 is an abundant number, since it is smaller than the sum of its proper divisors (329820372).

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

166886748 is a wasteful number, since it uses less digits than its factorization.

166886748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1164 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 166886748 is about 12918.4653887372. The cubic root of 166886748 is about 550.5633324568.

It can be divided in two parts, 16688 and 6748, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 166886748 in words is "one hundred sixty-six million, eight hundred eighty-six thousand, seven hundred forty-eight".