166238240 has 96 divisors (see below), whose sum is σ = 475300224. Its totient is φ = 53637120.

The previous prime is 166238221. The next prime is 166238243. The reversal of 166238240 is 42832661.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 166238197 and 166238206.

It is not an unprimeable number, because it can be changed into a prime (166238243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14675 + ... + 23405.

It is an arithmetic number, because the mean of its divisors is an integer number (4951044).

Almost surely, 2^166238240 is an apocalyptic number.

166238240 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 166238240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237650112).

166238240 is an abundant number, since it is smaller than the sum of its proper divisors (309061984).

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

166238240 is a wasteful number, since it uses less digits than its factorization.

166238240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8770 (or 8762 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 166238240 is about 12893.3409169230. The cubic root of 166238240 is about 549.8492589650.

The spelling of 166238240 in words is "one hundred sixty-six million, two hundred thirty-eight thousand, two hundred forty".