168416640 has 192 divisors, whose sum is σ = 664803360. Its totient is φ = 38486016.

The previous prime is 168416629. The next prime is 168416641. The reversal of 168416640 is 46614861.

168416640 is a `hidden beast` number, since 1 + 6 + 8 + 4 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 168416595 and 168416604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168416641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38232 + ... + 42408.

Almost surely, 2^168416640 is an apocalyptic number.

168416640 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 168416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332401680).

168416640 is an abundant number, since it is smaller than the sum of its proper divisors (496386720).

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

168416640 is a wasteful number, since it uses less digits than its factorization.

168416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4209 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 168416640 is about 12977.5436812981. The cubic root of 168416640 is about 552.2406008479.

The spelling of 168416640 in words is "one hundred sixty-eight million, four hundred sixteen thousand, six hundred forty".