166493952 has 108 divisors (see below), whose sum is σ = 484673280. Its totient is φ = 54964224.

The previous prime is 166493939. The next prime is 166494037. The reversal of 166493952 is 259394661.

166493952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 166493898 and 166493907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292324 + ... + 292892.

Almost surely, 2^166493952 is an apocalyptic number.

166493952 is a gapful number since it is divisible by the number (12) 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 166493952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242336640).

166493952 is an abundant number, since it is smaller than the sum of its proper divisors (318179328).

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

166493952 is a wasteful number, since it uses less digits than its factorization.

166493952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 701 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 166493952 is about 12903.2535431960. The cubic root of 166493952 is about 550.1310453581.

The spelling of 166493952 in words is "one hundred sixty-six million, four hundred ninety-three thousand, nine hundred fifty-two".