166631920 has 160 divisors (see below), whose sum is σ = 487968768. Its totient is φ = 51508224.

The previous prime is 166631903. The next prime is 166631929. The reversal of 166631920 is 29136661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166631929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341917 + ... + 342403.

Almost surely, 2^166631920 is an apocalyptic number.

166631920 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 166631920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243984384).

166631920 is an abundant number, since it is smaller than the sum of its proper divisors (321336848).

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

166631920 is a wasteful number, since it uses less digits than its factorization.

166631920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 166631920 is about 12908.5986845978. The cubic root of 166631920 is about 550.2829618360.

The spelling of 166631920 in words is "one hundred sixty-six million, six hundred thirty-one thousand, nine hundred twenty".