168205440 has 256 divisors, whose sum is σ = 604558080. Its totient is φ = 39469056.

The previous prime is 168205439. The next prime is 168205447. The reversal of 168205440 is 44502861.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 168205398 and 168205407.

It is not an unprimeable number, because it can be changed into a prime (168205447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573934 + ... + 574226.

It is an arithmetic number, because the mean of its divisors is an integer number (2361555).

Almost surely, 2^168205440 is an apocalyptic number.

168205440 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 168205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302279040).

168205440 is an abundant number, since it is smaller than the sum of its proper divisors (436352640).

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

168205440 is a wasteful number, since it uses less digits than its factorization.

168205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 168205440 is about 12969.4039955582. The cubic root of 168205440 is about 552.0096616666.

The spelling of 168205440 in words is "one hundred sixty-eight million, two hundred five thousand, four hundred forty".