166433920 has 64 divisors (see below), whose sum is σ = 418852800. Its totient is φ = 63065088.

The previous prime is 166433879. The next prime is 166433959. The reversal of 166433920 is 29334661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5317 + ... + 19003.

It is an arithmetic number, because the mean of its divisors is an integer number (6544575).

Almost surely, 2^166433920 is an apocalyptic number.

166433920 is a gapful number since it is divisible by the number (10) 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 166433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209426400).

166433920 is an abundant number, since it is smaller than the sum of its proper divisors (252418880).

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

166433920 is a wasteful number, since it uses less digits than its factorization.

166433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13725 (or 13713 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 166433920 is about 12900.9270984685. The cubic root of 166433920 is about 550.0649179571.

The spelling of 166433920 in words is "one hundred sixty-six million, four hundred thirty-three thousand, nine hundred twenty".