166117920 has 48 divisors (see below), whose sum is σ = 523272960. Its totient is φ = 44297984.

The previous prime is 166117879. The next prime is 166117949. The reversal of 166117920 is 29711661.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 172560 + ... + 173519.

It is an arithmetic number, because the mean of its divisors is an integer number (10901520).

Almost surely, 2^166117920 is an apocalyptic number.

166117920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166117920 is an abundant number, since it is smaller than the sum of its proper divisors (357155040).

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

166117920 is a wasteful number, since it uses less digits than its factorization.

166117920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346097 (or 346089 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 166117920 is about 12888.6740978271. The cubic root of 166117920 is about 549.7165702196.

It can be divided in two parts, 16611 and 7920, that added together give a triangular number (24531 = T₂₂₁).

The spelling of 166117920 in words is "one hundred sixty-six million, one hundred seventeen thousand, nine hundred twenty".