166224480 has 96 divisors (see below), whose sum is σ = 540546048. Its totient is φ = 42892800.

The previous prime is 166224391. The next prime is 166224481. The reversal of 166224480 is 84422661.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166224481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9295 + ... + 20465.

It is an arithmetic number, because the mean of its divisors is an integer number (5630688).

Almost surely, 2^166224480 is an apocalyptic number.

166224480 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 166224480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270273024).

166224480 is an abundant number, since it is smaller than the sum of its proper divisors (374321568).

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

166224480 is a wasteful number, since it uses less digits than its factorization.

166224480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11220 (or 11212 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 166224480 is about 12892.8072970940. The cubic root of 166224480 is about 549.8340876972.

The spelling of 166224480 in words is "one hundred sixty-six million, two hundred twenty-four thousand, four hundred eighty".