168038640 has 360 divisors, whose sum is σ = 717797808. Its totient is φ = 34836480.

The previous prime is 168038581. The next prime is 168038681. The reversal of 168038640 is 46830861.

It is a happy number.

168038640 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 3 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 168038595 and 168038604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 387864 + ... + 388296.

Almost surely, 2^168038640 is an apocalyptic number.

168038640 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 168038640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358898904).

168038640 is an abundant number, since it is smaller than the sum of its proper divisors (549759168).

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

168038640 is a wasteful number, since it uses less digits than its factorization.

168038640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 461 counting only the distinct ones).

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

The square root of 168038640 is about 12962.9718814784. The cubic root of 168038640 is about 551.8271355374.

The spelling of 168038640 in words is "one hundred sixty-eight million, thirty-eight thousand, six hundred forty".