166454080 has 56 divisors (see below), whose sum is σ = 426869352. Its totient is φ = 61458432.

The previous prime is 166454051. The next prime is 166454087. The reversal of 166454080 is 80454661.

166454080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1382976 + 165071104 = 1176^2 + 12848^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166454087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15847 + ... + 24166.

It is an arithmetic number, because the mean of its divisors is an integer number (7622667).

Almost surely, 2^166454080 is an apocalyptic number.

166454080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166454080 is an abundant number, since it is smaller than the sum of its proper divisors (260415272).

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

166454080 is a wasteful number, since it uses less digits than its factorization.

166454080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40043 (or 40033 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 166454080 is about 12901.7084140047. The cubic root of 166454080 is about 550.0871266932.

The spelling of 166454080 in words is "one hundred sixty-six million, four hundred fifty-four thousand, eighty".