166746752 has 48 divisors (see below), whose sum is σ = 344262750. Its totient is φ = 80446464.

The previous prime is 166746739. The next prime is 166746779. The reversal of 166746752 is 257647661.

It can be written as a sum of positive squares in 3 ways, for example, as 135117376 + 31629376 = 11624^2 + 5624^2 .

It is a super-3 number, since 3×166746752³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106874 + ... + 108422.

Almost surely, 2^166746752 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 166746752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172131375).

166746752 is an abundant number, since it is smaller than the sum of its proper divisors (177515998).

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

166746752 is an equidigital number, since it uses as much as digits as its factorization.

166746752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1580 counting only the distinct ones).

The product of its digits is 423360, while the sum is 44.

The square root of 166746752 is about 12913.0458064703. The cubic root of 166746752 is about 550.4093393494.

Subtracting 166746752 from its reverse (257647661), we obtain a palindrome (90900909).

The spelling of 166746752 in words is "one hundred sixty-six million, seven hundred forty-six thousand, seven hundred fifty-two".