166631520 has 288 divisors, whose sum is σ = 611331840. Its totient is φ = 38016000.

The previous prime is 166631513. The next prime is 166631557. The reversal of 166631520 is 25136661.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1103445 + ... + 1103595.

It is an arithmetic number, because the mean of its divisors is an integer number (2122680).

Almost surely, 2^166631520 is an apocalyptic number.

166631520 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 166631520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305665920).

166631520 is an abundant number, since it is smaller than the sum of its proper divisors (444700320).

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

166631520 is a wasteful number, since it uses less digits than its factorization.

166631520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 166631520 is about 12908.5831910400. The cubic root of 166631520 is about 550.2825215174.

The spelling of 166631520 in words is "one hundred sixty-six million, six hundred thirty-one thousand, five hundred twenty".