168838400 has 216 divisors, whose sum is σ = 462303744. Its totient is φ = 60825600.

The previous prime is 168838393. The next prime is 168838409. The reversal of 168838400 is 4838861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168838409) 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, 4563182 + ... + 4563218.

Almost surely, 2^168838400 is an apocalyptic number.

168838400 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 168838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231151872).

168838400 is an abundant number, since it is smaller than the sum of its proper divisors (293465344).

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

168838400 is a wasteful number, since it uses less digits than its factorization.

168838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 168838400 is about 12993.7831288659. The cubic root of 168838400 is about 552.7012022875.

The spelling of 168838400 in words is "one hundred sixty-eight million, eight hundred thirty-eight thousand, four hundred".