166252032 has 120 divisors (see below), whose sum is σ = 485679480. Its totient is φ = 54743040.

The previous prime is 166252003. The next prime is 166252049. The reversal of 166252032 is 230252661.

166252032 is a `hidden beast` number, since 1 + 6 + 625 + 2 + 0 + 32 = 666.

166252032 is digitally balanced in base 3, 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 = 166251987 and 166252005.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 502107 + ... + 502437.

It is an arithmetic number, because the mean of its divisors is an integer number (4047329).

Almost surely, 2^166252032 is an apocalyptic number.

166252032 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 166252032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242839740).

166252032 is an abundant number, since it is smaller than the sum of its proper divisors (319427448).

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

166252032 is a wasteful number, since it uses less digits than its factorization.

166252032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 166252032 is about 12893.8757555671. The cubic root of 166252032 is about 549.8644646747.

The spelling of 166252032 in words is "one hundred sixty-six million, two hundred fifty-two thousand, thirty-two".