168320400 has 240 divisors, whose sum is σ = 588962304. Its totient is φ = 40919040.

The previous prime is 168320377. The next prime is 168320413. The reversal of 168320400 is 4023861.

It is a happy number.

168320400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754689 + ... + 754911.

Almost surely, 2^168320400 is an apocalyptic number.

168320400 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 168320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294481152).

168320400 is an abundant number, since it is smaller than the sum of its proper divisors (420641904).

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

168320400 is a wasteful number, since it uses less digits than its factorization.

168320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 168320400 is about 12973.8352078327. The cubic root of 168320400 is about 552.1353900203.

The spelling of 168320400 in words is "one hundred sixty-eight million, three hundred twenty thousand, four hundred".