168214240 has 48 divisors (see below), whose sum is σ = 399228480. Its totient is φ = 66977280.

The previous prime is 168214219. The next prime is 168214283. The reversal of 168214240 is 42412861.

It is a junction number, because it is equal to n+sod(n) for n = 168214199 and 168214208.

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 7 ways as a sum of consecutive naturals, for example, 34345 + ... + 38935.

It is an arithmetic number, because the mean of its divisors is an integer number (8317260).

Almost surely, 2^168214240 is an apocalyptic number.

168214240 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 168214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199614240).

168214240 is an abundant number, since it is smaller than the sum of its proper divisors (231014240).

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

168214240 is a wasteful number, since it uses less digits than its factorization.

168214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4835 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 168214240 is about 12969.7432511210. The cubic root of 168214240 is about 552.0192879909.

The spelling of 168214240 in words is "one hundred sixty-eight million, two hundred fourteen thousand, two hundred forty".