168344400 has 240 divisors, whose sum is σ = 630416000. Its totient is φ = 38384640.

The previous prime is 168344399. The next prime is 168344411. The reversal of 168344400 is 4443861.

168344400 = T₃₂₉ + T₃₃₀ + ... + T₁₀₁₄.

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

It is a super-2 number, since 2×168344400² = 56679674022720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411396 + ... + 411804.

Almost surely, 2^168344400 is an apocalyptic number.

168344400 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 168344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315208000).

168344400 is an abundant number, since it is smaller than the sum of its proper divisors (462071600).

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

168344400 is a wasteful number, since it uses less digits than its factorization.

168344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 168344400 is about 12974.7601133894. The cubic root of 168344400 is about 552.1616308872.

The spelling of 168344400 in words is "one hundred sixty-eight million, three hundred forty-four thousand, four hundred".