168353640 has 320 divisors, whose sum is σ = 697656960. Its totient is φ = 35458560.

The previous prime is 168353621. The next prime is 168353641. The reversal of 168353640 is 46353861.

168353640 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 5 + 3 + 640 = 666.

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 = 168353595 and 168353604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168353641) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 294555 + ... + 295125.

It is an arithmetic number, because the mean of its divisors is an integer number (2180178).

Almost surely, 2^168353640 is an apocalyptic number.

168353640 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 168353640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348828480).

168353640 is an abundant number, since it is smaller than the sum of its proper divisors (529303320).

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

168353640 is a wasteful number, since it uses less digits than its factorization.

168353640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 168353640 is about 12975.1161844509. The cubic root of 168353640 is about 552.1717329560.

The spelling of 168353640 in words is "one hundred sixty-eight million, three hundred fifty-three thousand, six hundred forty".